Representation Theory of Semisimple Groups : : An Overview Based on Examples (PMS-36) / / Anthony W. Knapp.
In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and rese...
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1986 |
| Year of Publication: | 2016 |
| Edition: | With a New preface by the author |
| Language: | English |
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Knapp, Anthony W., author. aut http://id.loc.gov/vocabulary/relators/aut Representation Theory of Semisimple Groups : An Overview Based on Examples (PMS-36) / Anthony W. Knapp. With a New preface by the author Princeton, NJ : Princeton University Press, [2016] ©1986 1 online resource (800 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Mathematical Series ; 32 Frontmatter -- Contents -- Preface to the Princeton Landmarks in Mathematics Edition -- Preface -- Acknowledgments -- Chapter I. Scope of the Theory -- Chapter II. Representations of SU(2), SL(2, ℝ) and SL(2, ℂ) -- Chapter III. C∞ Vectors and the Universal Enveloping Algebra -- Chapter IV. Representations of Compact Lie Groups -- Chapter V. Structure Theory for Noncompact Groups -- Chapter VI. Holomorphic Discrete Series -- Chapter VII. Induced Representations -- Chapter VIII. Admissible Representations -- Chapter IX. Construction of Discrete Series -- Chapter X. Global Characters -- Chapter XI. Introduction to Plancherel Formula -- Chapter XII. Exhaustion of Discrete Series -- Chapter XIII. Plancherel Formula -- Chapter XIV. Irreducible Tempered Representations -- Chapter XV. Minimal K Types -- Chapter XVI. Unitary Representations -- Appendix A. Elementary Theory of Lie Groups -- Appendix B. Regular Singular Points of Partial Differential Equations -- Appendix C. Roots and Restricted Roots for Classical Groups -- Notes -- References -- Index of Notation -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and researchers. Although theorems are always stated precisely, many illustrative examples or classes of examples are given. To support this unique approach, the author includes for the reader a useful 300-item bibliography and an extensive section of notes. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) MATHEMATICS / Algebra / Abstract. bisacsh Abelian group. Admissible representation. Algebra homomorphism. Analytic function. Analytic proof. Associative algebra. Asymptotic expansion. Automorphic form. Automorphism. Bounded operator. Bounded set (topological vector space). Cartan subalgebra. Cartan subgroup. Category theory. Characterization (mathematics). Classification theorem. Cohomology. Complex conjugate representation. Complexification (Lie group). Complexification. Conjugate transpose. Continuous function (set theory). Degenerate bilinear form. Diagram (category theory). Dimension (vector space). Dirac operator. Discrete series representation. Distribution (mathematics). Eigenfunction. Eigenvalues and eigenvectors. Existence theorem. Explicit formulae (L-function). Fourier inversion theorem. General linear group. Group homomorphism. Haar measure. Heine-Borel theorem. Hermitian matrix. Hilbert space. Holomorphic function. Hyperbolic function. Identity (mathematics). Induced representation. Infinitesimal character. Integration by parts. Invariant subspace. Invertible matrix. Irreducible representation. Jacobian matrix and determinant. K-finite. Levi decomposition. Lie algebra. Locally integrable function. Mathematical induction. Matrix coefficient. Matrix group. Maximal compact subgroup. Meromorphic function. Metric space. Nilpotent Lie algebra. Norm (mathematics). Parity (mathematics). Plancherel theorem. Projection (linear algebra). Quantifier (logic). Reductive group. Representation of a Lie group. Representation theory. Schwartz space. Semisimple Lie algebra. Set (mathematics). Sign (mathematics). Solvable Lie algebra. Special case. Special linear group. Special unitary group. Subgroup. Summation. Support (mathematics). Symmetric algebra. Symmetrization. Symplectic group. Tensor algebra. Tensor product. Theorem. Topological group. Topological space. Topological vector space. Unitary group. Unitary matrix. Unitary representation. Universal enveloping algebra. Variable (mathematics). Vector bundle. Weight (representation theory). Weyl character formula. Weyl group. Weyl's theorem. ZPP (complexity). Zorn's lemma. Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package 9783110501063 ZDB-23-PMS Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691090894 https://doi.org/10.1515/9781400883974 https://www.degruyter.com/isbn/9781400883974 Cover https://www.degruyter.com/document/cover/isbn/9781400883974/original |
| language |
English |
| format |
eBook |
| author |
Knapp, Anthony W., Knapp, Anthony W., |
| spellingShingle |
Knapp, Anthony W., Knapp, Anthony W., Representation Theory of Semisimple Groups : An Overview Based on Examples (PMS-36) / Princeton Mathematical Series ; Frontmatter -- Contents -- Preface to the Princeton Landmarks in Mathematics Edition -- Preface -- Acknowledgments -- Chapter I. Scope of the Theory -- Chapter II. Representations of SU(2), SL(2, ℝ) and SL(2, ℂ) -- Chapter III. C∞ Vectors and the Universal Enveloping Algebra -- Chapter IV. Representations of Compact Lie Groups -- Chapter V. Structure Theory for Noncompact Groups -- Chapter VI. Holomorphic Discrete Series -- Chapter VII. Induced Representations -- Chapter VIII. Admissible Representations -- Chapter IX. Construction of Discrete Series -- Chapter X. Global Characters -- Chapter XI. Introduction to Plancherel Formula -- Chapter XII. Exhaustion of Discrete Series -- Chapter XIII. Plancherel Formula -- Chapter XIV. Irreducible Tempered Representations -- Chapter XV. Minimal K Types -- Chapter XVI. Unitary Representations -- Appendix A. Elementary Theory of Lie Groups -- Appendix B. Regular Singular Points of Partial Differential Equations -- Appendix C. Roots and Restricted Roots for Classical Groups -- Notes -- References -- Index of Notation -- Index |
| author_facet |
Knapp, Anthony W., Knapp, Anthony W., |
| author_variant |
a w k aw awk a w k aw awk |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Knapp, Anthony W., |
| title |
Representation Theory of Semisimple Groups : An Overview Based on Examples (PMS-36) / |
| title_sub |
An Overview Based on Examples (PMS-36) / |
| title_full |
Representation Theory of Semisimple Groups : An Overview Based on Examples (PMS-36) / Anthony W. Knapp. |
| title_fullStr |
Representation Theory of Semisimple Groups : An Overview Based on Examples (PMS-36) / Anthony W. Knapp. |
| title_full_unstemmed |
Representation Theory of Semisimple Groups : An Overview Based on Examples (PMS-36) / Anthony W. Knapp. |
| title_auth |
Representation Theory of Semisimple Groups : An Overview Based on Examples (PMS-36) / |
| title_alt |
Frontmatter -- Contents -- Preface to the Princeton Landmarks in Mathematics Edition -- Preface -- Acknowledgments -- Chapter I. Scope of the Theory -- Chapter II. Representations of SU(2), SL(2, ℝ) and SL(2, ℂ) -- Chapter III. C∞ Vectors and the Universal Enveloping Algebra -- Chapter IV. Representations of Compact Lie Groups -- Chapter V. Structure Theory for Noncompact Groups -- Chapter VI. Holomorphic Discrete Series -- Chapter VII. Induced Representations -- Chapter VIII. Admissible Representations -- Chapter IX. Construction of Discrete Series -- Chapter X. Global Characters -- Chapter XI. Introduction to Plancherel Formula -- Chapter XII. Exhaustion of Discrete Series -- Chapter XIII. Plancherel Formula -- Chapter XIV. Irreducible Tempered Representations -- Chapter XV. Minimal K Types -- Chapter XVI. Unitary Representations -- Appendix A. Elementary Theory of Lie Groups -- Appendix B. Regular Singular Points of Partial Differential Equations -- Appendix C. Roots and Restricted Roots for Classical Groups -- Notes -- References -- Index of Notation -- Index |
| title_new |
Representation Theory of Semisimple Groups : |
| title_sort |
representation theory of semisimple groups : an overview based on examples (pms-36) / |
| series |
Princeton Mathematical Series ; |
| series2 |
Princeton Mathematical Series ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (800 p.) Issued also in print. |
| edition |
With a New preface by the author |
| contents |
Frontmatter -- Contents -- Preface to the Princeton Landmarks in Mathematics Edition -- Preface -- Acknowledgments -- Chapter I. Scope of the Theory -- Chapter II. Representations of SU(2), SL(2, ℝ) and SL(2, ℂ) -- Chapter III. C∞ Vectors and the Universal Enveloping Algebra -- Chapter IV. Representations of Compact Lie Groups -- Chapter V. Structure Theory for Noncompact Groups -- Chapter VI. Holomorphic Discrete Series -- Chapter VII. Induced Representations -- Chapter VIII. Admissible Representations -- Chapter IX. Construction of Discrete Series -- Chapter X. Global Characters -- Chapter XI. Introduction to Plancherel Formula -- Chapter XII. Exhaustion of Discrete Series -- Chapter XIII. Plancherel Formula -- Chapter XIV. Irreducible Tempered Representations -- Chapter XV. Minimal K Types -- Chapter XVI. Unitary Representations -- Appendix A. Elementary Theory of Lie Groups -- Appendix B. Regular Singular Points of Partial Differential Equations -- Appendix C. Roots and Restricted Roots for Classical Groups -- Notes -- References -- Index of Notation -- Index |
| isbn |
9781400883974 9783110501063 9783110442496 9780691090894 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA387 |
| callnumber-sort |
QA 3387 K58 42001 |
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https://doi.org/10.1515/9781400883974 https://www.degruyter.com/isbn/9781400883974 https://www.degruyter.com/document/cover/isbn/9781400883974/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
512 - Algebra |
| dewey-full |
512.6 |
| dewey-sort |
3512.6 |
| dewey-raw |
512.6 |
| dewey-search |
512.6 |
| doi_str_mv |
10.1515/9781400883974 |
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979584624 |
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Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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Representation Theory of Semisimple Groups : An Overview Based on Examples (PMS-36) / |
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