Unitary representations of maximal parabolic subgroups of the classical groups / [electronic resource] Joseph A. Wolf.

By: Wolf, Joseph Albert, 1936-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 180.Publication details: Providence : American Mathematical Society, 1976Description: 1 online resource (iii, 193 p.)ISBN: 9781470408275 (online)Subject(s): Lie groups | Representations of groups | Linear algebraic groupsAdditional physical formats: Unitary representations of maximal parabolic subgroups of the classical groups /DDC classification: 510/.8 s | 512/.2 LOC classification: QA3 | .A57 no. 180 | QA387Online resources: Contents | Contents
Contents:
0. Introduction Part I. Linear groups 1. Parabolic subgroups of general linear groups Part II. Unitary groups 2. Parabolic subgroups of unitary groups: Statement of structure 3. Parabolic subgroups of unitary groups: Proof of structure 4. Unitary representations of the nilradical 5. Representations of the groups $G_{s;t,u}(F)$ 6. Representations of the maximal parabolic subgroups 7. Representations of the little-groups $J_{d;e,a,b}(F)$ Part III. Symplectic groups 8. Parabolic subgroups of symplectic and metaplectic groups 9. Representations of the nilradical and the intermediate group 10. Representations of the maximal parabolic subgroups 11. Representations of the little-groups $J_{d;u,2v}(F)$ Part IV. Orthogonal groups 12. Parabolic subgroups of complex orthogonal groups 13. Structure of parabolic subgroups of $\mathrm {SO}^*(2m)$ 14. The nilradical and the intermediate group for $\mathrm {SO}^*(2m)$ 15. Representations of the maximal parabolic subgroups of $\mathrm {SO}^*(2m)$ Appendix. Induced representation
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"Volume 8 ... end of volume."

Bibliography: p. 192-193.

0. Introduction Part I. Linear groups 1. Parabolic subgroups of general linear groups Part II. Unitary groups 2. Parabolic subgroups of unitary groups: Statement of structure 3. Parabolic subgroups of unitary groups: Proof of structure 4. Unitary representations of the nilradical 5. Representations of the groups $G_{s;t,u}(F)$ 6. Representations of the maximal parabolic subgroups 7. Representations of the little-groups $J_{d;e,a,b}(F)$ Part III. Symplectic groups 8. Parabolic subgroups of symplectic and metaplectic groups 9. Representations of the nilradical and the intermediate group 10. Representations of the maximal parabolic subgroups 11. Representations of the little-groups $J_{d;u,2v}(F)$ Part IV. Orthogonal groups 12. Parabolic subgroups of complex orthogonal groups 13. Structure of parabolic subgroups of $\mathrm {SO}^*(2m)$ 14. The nilradical and the intermediate group for $\mathrm {SO}^*(2m)$ 15. Representations of the maximal parabolic subgroups of $\mathrm {SO}^*(2m)$ Appendix. Induced representation

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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