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The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$
Language: en
Pages: 145
Authors: Toshiyuki Kobayashi
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: American Mathematical Soc.

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The authors introduce a generalization of the Fourier transform, denoted by $\mathcal{F}_C$, on the isotropic cone $C$ associated to an indefinite quadratic for
The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p, Q)
Language: en
Pages: 132
Authors: Toshiyuki Kobayashi
Categories: MATHEMATICS
Type: BOOK - Published: 2011 - Publisher:

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Quantum Theory, Groups and Representations
Language: en
Pages: 659
Authors: Peter Woit
Categories: Science
Type: BOOK - Published: 2017-11-01 - Publisher: Springer

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This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The math
Symmetry Breaking for Representations of Rank One Orthogonal Groups
Language: en
Pages: 124
Authors: Toshiyuki Kobayashi
Categories: Mathematics
Type: BOOK - Published: 2015-10-27 - Publisher: American Mathematical Soc.

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The authors give a complete classification of intertwining operators (symmetry breaking operators) between spherical principal series representations of and . T
An Introduction to Lie Groups and Lie Algebras
Language: en
Pages: 237
Authors: Alexander A. Kirillov
Categories: Mathematics
Type: BOOK - Published: 2008-07-31 - Publisher: Cambridge University Press

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This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.