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東京科学大学図書館
蔵書検索
（大岡山図書館、すずかけ台図書館）

図書館システム定期保守等（8/8-14）に伴い、図書の所在や貸出情報等、一部の情報が表示できません（予約・取寄せもできません）。

目次情報: 続きを見る

Algebras, modules, and representations Group representations and characters

Characters and integrality Products of characters

Induced characters Normal subgroups T.I. sets and exceptional characters

Brauer's theorem Changing the field

The Schur index Projective representations Character degrees

Character correspondence Linear groups Changing the characteristic

Some character tables

Bibliographic notes

References

Index

Algebras, modules, and representations Group representations and characters

Characters and integrality Products of characters

Induced characters Normal subgroups T.I. sets and exceptional characters

目次情報: 続きを見る

Symmetric Functions / I：

Partitions / 1：

The ring of symmetric functions / 2：

Schur functions / 3：

Orthogonality / 4：

Skew Schur functions / 5：

Transition matrices / 6：

The characters of the symmetric groups / 7：

Plethysm / 8：

The Littlewood-Richardson rule / 9：

Polynomial functors and polynomial representations / Appendix A：

Characters of wreath products / Appendix B：

Hall Polynomials / II：

Finite o-modules

The Hall algebra

The LR-sequence of a submodule

The Hall polynomial

Appendix: Another proof of Hall's theorem / A. Zelevinsky

Hall-Littlewood Symmetric Functions / III：

The symmetric polynomials Rl

Hall-Littlewood functions

The Hall algebra again

Skew Hall-Littlewood functions

Green's polynomials

Schur's Q-functions

The Characters of GLn over a Finite Field / IV：

The groups L and M

Conjugacy classes

Induction from parabolic subgroups

The characteristic map

Construction of the characters

The irreducible characters

Appendix: proof of (5.1)

The Hecke Ring of GLn over a Local Field / V：

Local fields

The Hecke ring H(G,K)

Spherical functions

Hecke series and zeta functions for GLn(F)

Hecke series and zeta functions for GSp2n(F)

Symmetric Functions with Two Parameters / VI：

Introduction

The operators Dr/n

The symmetric functions Pl(x;q,t)

Duality

Pieri formulas

The skew functions Pl/m, Ql/m

Integral forms

Another scalar product

Jack's symmetric functions / 10：

Zonal Polynomials / VII：

Gelfand pairs and zonal spherical functions

The Gelfand pair (S2n, Hn)

The Gelfand pair (GLn(R),O(n))

Integral formulas

The complex case

The quaternionic case

Bibliography

Notation

Index

Symmetric Functions / I：

Partitions / 1：

The ring of symmetric functions / 2：

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