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1.

図書
図書
1. The admissible dual of GL(N) via compact open subgroups (: pbk)
by Colin J. Bushnell and Philip C. Kutzko
出版情報: Princeton, N.J. : Princeton University Press, 1993  ix, 313 p. ; 25 cm
シリーズ名: Annals of mathematics studies ; no. 129
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2.

図書
図書
2. Class I representations, special functions, and integral transforms
by N.Ja. Vilenkin and A.U. Klimyk ; translated from the Russian by V.A. Groza and A.A. Groza
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1993  xviii, 607 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 74 . Representation of Lie groups and special functions / by N.Ja Vilenkin and A.U. Klimyk ; v. 2
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目次情報: 続きを見る
List of the Most Important Notations
Special Functions Connected with SO(n) and with Related Groups / 9：
Representations of Groups, Related to SO(n), in Non-Canonical Bases, Special Functions, and Integral Transforms / 10：
Special Functions Connected with the Groups U(n), U(n-1.1) and IU(n-1) / 11：
Representations of the Heisenberg Group and Special Functions / 12：
Representations of the Discrete Groups and Special Functions of Discrete Argument / 13：
Bibliography
Subject Index
List of the Most Important Notations
Special Functions Connected with SO(n) and with Related Groups / 9：
Representations of Groups, Related to SO(n), in Non-Canonical Bases, Special Functions, and Integral Transforms / 10：
3.

図書
図書
3. Schur algebras and representation theory
Stuart Martin
出版情報: Cambridge [England] : Cambridge University Press, 1993  xv, 232 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 112
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目次情報: 続きを見る
Introduction
Polynomial functions and combinatorics / 1：
The Schur algebra / 2：
Representation theory of the Schur algebra / 3：
Schur functors and the symmetric group / 4：
Block theory / 5：
The q-Schur algebra / 6：
Representation theory of Sq(n,r) / 7：
Appendix: a review of algebraic groups
References
Index of notation
Index of terms
Introduction
Polynomial functions and combinatorics / 1：
The Schur algebra / 2：
4.

図書
図書
4. Noncommutative distributions : unitary representation of gauge groups and algebras
Sergio A. Albeverio ... [et al.]
出版情報: New York : Marcel Dekker, c1993  viii, 190 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 175
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目次情報: 続きを見る
Basic functional groups and Lie algebras
Multiplicative G-distributions on a Riemannian manifold
The energy representations of gauge groups
Energy representation of path groups
The algebraic level - representations of current algebras
Basic functional groups and Lie algebras
Multiplicative G-distributions on a Riemannian manifold
The energy representations of gauge groups
5.

図書
図書
5. Representations and characters of groups (: hbk ; : pbk)
Gordon James and Martin Liebeck
出版情報: Cambridge ; New York : Cambridge University Press, 1993  x, 419 p. ; 24 cm
シリーズ名: Cambridge mathematical textbooks
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目次情報: 続きを見る
Preface
Groups and homomorphisms / 1：
Vector spaces and linear transformations / 2：
Group representations / 3：
FG-modules / 4：
FG-submodules and reducibility / 5：
Group algebras / 6：
FG-homomorphisms / 7：
Maschke's Theorem / 8：
Schur's Lemma / 9：
Irreducible modules and the group algebra / 10：
More on the group algebra / 11：
Conjugacy classes / 12：
Characters / 13：
Inner products of characters / 14：
The number of irreducible characters / 15：
Character tables and orthogonality relations / 16：
Normal subgroups and lifted characters / 17：
Some elementary character tables / 18：
Tensor products / 19：
Restriction to a subgroup / 20：
Induced modules and characters / 21：
Algebraic integers / 22：
Real representations / 23：
Summary of properties of character tables / 24：
Characters of groups of order pq / 25：
Characters of some p-groups / 26：
Character table of the simple group of order 168 / 27：
An application to group theory / 28：
Burnside's Theorem / 29：
An application of representation theory to molecular vibration / 30：
Solutions to exercises
Bibliography
Index
Preface
Groups and homomorphisms / 1：
Vector spaces and linear transformations / 2：
6.

図書
図書
6. Representations of solvable groups
Olaf Manz and Thomas R. Wolf
出版情報: Cambridge : Cambridge University Press, 1993  xi, 302 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 185
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7.

図書
図書
7. Principles of symmetry, dynamics, and spectroscopy
William G. Harter
出版情報: New York : J. Wiley, c1993  xxii, 846 p. ; 25 cm
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8.

図書
図書
8. Representations and probability theory
by Philip Feinsilver and René Schott
出版情報: Dordrecht ; Boston : Kluwer Academic, c1993  ix, 223 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 241 . Algebraic structures and operator calculus ; v. 1
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9.

図書
図書
9. Group characters, symmetric functions, and the Hecke algebra
David M. Goldschmidt
出版情報: Providence, R.I. : American Mathematical Society, c1993  vii, 73 p. ; 26 cm
シリーズ名: University lecture series ; v. 4
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10.

図書
図書
10. Lectures on Hermite and Laguerre expansions
by Sundaram Thangavelu
出版情報: Princeton, N.J. : Princeton University Press, 1993  xv, 195 p. ; 24 cm
シリーズ名: Mathematical notes ; 42
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11.

図書
図書
11. Group representations (v. 2 - v. 5)
Gregory Karpilovsky
出版情報: Amsterdam ; Tokyo : North-Holland, 1993-  v. ; 25 cm
シリーズ名: North-Holland mathematics studies ; 177, 180, 182, 183
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