-
1
-
-
0000750434
-
Unitary highest weight modules
-
[A]
-
[A] J. ADAMS, Unitary highest weight modules, Adv. in Math. 63 (1987), 113-137.
-
(1987)
Adv. in Math.
, vol.63
, pp. 113-137
-
-
Adams, J.1
-
2
-
-
33646406314
-
Structure of representations that are generated by vectors of higher weight
-
[BGG]
-
[BGG] I. N. BERNŠTEIN, I. M. GEL'FAND, and S. I. GEL'FAND, Structure of representations that are generated by vectors of higher weight, Funckcional Anal. i Priložen 5 (1971), 1-9.
-
(1971)
Funckcional Anal. i Priložen
, vol.5
, pp. 1-9
-
-
Bernštein, I.N.1
Gel'fand, I.M.2
Gel'fand, S.I.3
-
3
-
-
33646971540
-
Über die Gelfand-Kirillov-Dimension
-
[BK]
-
[BK] W. BORHO and H. KRAFT, Über die Gelfand-Kirillov-Dimension, Math. Ann. 220 (1976), 1-24.
-
(1976)
Math. Ann.
, vol.220
, pp. 1-24
-
-
Borho, W.1
Kraft, H.2
-
4
-
-
34250110794
-
The n-cohomology of Harish-Chandra modules: Generalizing a theorem of Kostant
-
[C]
-
[C] D. COLLINGWOOD, The n-cohomology of Harish-Chandra modules: generalizing a theorem of Kostant, Math. Ann. 272 (1985), 161-187.
-
(1985)
Math. Ann.
, vol.272
, pp. 161-187
-
-
Collingwood, D.1
-
5
-
-
85039535964
-
-
[DES], A. M. S., Providence, RI
-
[DES] M. G. DAVIDSON, T. J. ENRIGHT, and R. J. STANKE, Differential Operators and Highest Weight Representations, Mem. Amer. Math. Soc. 94, A. M. S., Providence, RI, 1991.
-
(1991)
Differential Operators and Highest Weight Representations, Mem. Amer. Math. Soc.
, vol.94
-
-
Davidson, M.G.1
Enright, T.J.2
Stanke, R.J.3
-
6
-
-
84942499219
-
Analogues of Kostant's u-cohomology formulas for unitary highest weight modules
-
[E]
-
[E] T. J. ENRIGHT, Analogues of Kostant's u-cohomology formulas for unitary highest weight modules, J. Reine Angew. Math. 392 (1988), 27-36.
-
(1988)
J. Reine Angew. Math.
, vol.392
, pp. 27-36
-
-
Enright, T.J.1
-
7
-
-
0001064922
-
A classification of unitary highest weight modules
-
[EHW], Representation Theory of Reductive Groups (Park City, Utah, 1982), Birkhäuser Boston
-
[EHW] T. J. ENRIGHT, R. HOWE, and N. R. WALLACH, A classification of unitary highest weight modules, Representation Theory of Reductive Groups (Park City, Utah, 1982) Progr. Math. 40, 97-143, Birkhäuser Boston, 1983.
-
(1983)
Progr. Math.
, vol.40
, pp. 97-143
-
-
Enright, T.J.1
Howe, R.2
Wallach, N.R.3
-
8
-
-
0000936358
-
An intrinsic analysis of unitarizable highest weight modules
-
[EJ]
-
[EJ] T. J. ENRIGHT and A. JOSEPH, An intrinsic analysis of unitarizable highest weight modules, Math. Ann. 288 (1990), 571-594.
-
(1990)
Math. Ann.
, vol.288
, pp. 571-594
-
-
Enright, T.J.1
Joseph, A.2
-
9
-
-
2442475872
-
-
[ES], A. M. S., Providence, RI
-
[ES] T. J. ENRIGHT and B. SHELTON, Categories of Highest Weight Modules: Applications to Classical Hermitian Symmetric Pairs, Mem. Amer. Math. Soc. 67, A. M. S., Providence, RI, 1987.
-
(1987)
Categories of Highest Weight Modules: Applications to Classical Hermitian Symmetric Pairs, Mem. Amer. Math. Soc.
, vol.67
-
-
Enright, T.J.1
Shelton, B.2
-
10
-
-
84966261375
-
Highest weight modules for Hermitian symmetric pairs of exceptional type
-
[ES2]
-
[ES2] _, Highest weight modules for Hermitian symmetric pairs of exceptional type, Proc. Amer. Math. Soc. 106 (1989), 807-819.
-
(1989)
Proc. Amer. Math. Soc.
, vol.106
, pp. 807-819
-
-
-
11
-
-
0037457992
-
Hilbert series, Howe duality and branching rules
-
[EW]
-
[EW] T. J. ENRIGHT and J. F. WILLENBRING, Hilbert series, Howe duality and branching rules, Proc. Natl. Acad. Sci. USA 100 (2003), 434-437.
-
(2003)
Proc. Natl. Acad. Sci. USA
, vol.100
, pp. 434-437
-
-
Enright, T.J.1
Willenbring, J.F.2
-
12
-
-
0033070948
-
A Brauer algebra-theoretic proof of Littlewood's restriction rules
-
[G]
-
[G] F. GAVARINI, A Brauer algebra-theoretic proof of Littlewood's restriction rules, J. Algebra 212 (1999), 240-271.
-
(1999)
J. Algebra
, vol.212
, pp. 240-271
-
-
Gavarini, F.1
-
13
-
-
0031208905
-
Representations of the Brauer algebra and Littlewood's restriction rules
-
[GP]
-
[GP] F. GAVARINI and P. PAPI, Representations of the Brauer algebra and Littlewood's restriction rules, J. Algebra 194 (1997), 275-298.
-
(1997)
J. Algebra
, vol.194
, pp. 275-298
-
-
Gavarini, F.1
Papi, P.2
-
14
-
-
0003968338
-
-
[GW], Cambridge Univ. Press, Cambridge
-
[GW] R. GOODMAN and N. WALLACH, Representations and Invariants of the Classical Groups, Encyc. Math. and its Appl. 68, 406-463, Cambridge Univ. Press, Cambridge, 1998.
-
(1998)
Representations and Invariants of the Classical Groups, Encyc. Math. and Its Appl.
, vol.68
, pp. 406-463
-
-
Goodman, R.1
Wallach, N.2
-
15
-
-
0011466956
-
Remarks on classical invariant theory
-
[H]
-
[H] R. HOWE, Remarks on classical invariant theory. Trans. Amer. Math. Soc. 313 (1989), 539-570.
-
(1989)
Trans. Amer. Math. Soc.
, vol.313
, pp. 539-570
-
-
Howe, R.1
-
16
-
-
0000647039
-
Hermitian symmetric spaces and their unitary highest weight modules
-
[J]
-
[J] H. P. JAKOBSEN, Hermitian symmetric spaces and their unitary highest weight modules, J. Funct. Anal. 52 (1983), 385-412.
-
(1983)
J. Funct. Anal.
, vol.52
, pp. 385-412
-
-
Jakobsen, H.P.1
-
17
-
-
0001833206
-
On the Segal-Shale-Weil representations and harmonic polynomials
-
[KV]
-
[KV] M. KASHIWARA and M. VERGNE, On the Segal-Shale-Weil representations and harmonic polynomials, Invent. Math. 44 (1978), 1-47.
-
(1978)
Invent. Math.
, vol.44
, pp. 1-47
-
-
Kashiwara, M.1
Vergne, M.2
-
18
-
-
0001170640
-
A generalization of the Bernstein-Gelfand-Gelfand resolution
-
[L]
-
[L] J. LEPOWSKY, A generalization of the Bernstein-Gelfand-Gelfand resolution, J. Algebra 49 (1977), 496-511.
-
(1977)
J. Algebra
, vol.49
, pp. 496-511
-
-
Lepowsky, J.1
-
20
-
-
0000145839
-
On invariant theory under restricted groups
-
[Lit2]
-
[Lit2] _, On invariant theory under restricted groups, Philos. Trans. Roy. Soc. London Ser. A 239 (1944), 387-417.
-
(1944)
Philos. Trans. Roy. Soc. London Ser. A
, vol.239
, pp. 387-417
-
-
-
21
-
-
0041066475
-
Modification rules for the orthogonal and symplectic groups
-
[N]
-
[N] M. J. NEWELL, Modification rules for the orthogonal and symplectic groups, Proc. Roy. Irish Acad. Sect. A 54 (1951), 153-163.
-
(1951)
Proc. Roy. Irish Acad. Sect. A
, vol.54
, pp. 153-163
-
-
Newell, M.J.1
-
22
-
-
0012676330
-
Nilpotent orbits, associated cycles and whittaker models for highest weight representations
-
[NOTYK]
-
[NOTYK] K. NISHIYAMA, H. OCHIAI, K. TANIGUCHI, H. YAMASHITA, and S. KATO, Nilpotent orbits, associated cycles and Whittaker models for highest weight representations, Astérisque 273 (2001), 1-163.
-
(2001)
Astérisque
, vol.273
, pp. 1-163
-
-
Nishiyama, K.1
Ochiai, H.2
Taniguchi, K.3
Yamashita, H.4
Kato, S.5
-
23
-
-
0012925391
-
Tableaux in the representation theory of the classical Lie Groups
-
[S], Invariant Theory and Tableaux (Minneapolis, MN, 1988), Springer-Verlag, New York
-
[S] S. SUNDARAM, Tableaux in the representation theory of the classical Lie Groups, Invariant Theory and Tableaux (Minneapolis, MN, 1988) IMA Vol. Math. Appl. 19, 191-225, Springer-Verlag, New York, 1990.
-
(1990)
IMA Vol. Math. Appl.
, vol.19
, pp. 191-225
-
-
Sundaram, S.1
-
24
-
-
84968467363
-
The analytic continuation of the discrete series. I, II
-
[W]
-
[W] N. R. WALLACH, The analytic continuation of the discrete series. I, II, Trans. Amer. Math. Soc. 251 (1979), 1-17, 19-37.
-
(1979)
Trans. Amer. Math. Soc.
, vol.251
, pp. 1-17
-
-
Wallach, N.R.1
-
25
-
-
0002536531
-
Gelfand-Kirillov dimension for Harish-Chandra modules
-
[V]
-
[V] D. A. VOGAN, Gelfand-Kirillov dimension for Harish-Chandra modules, Invent. Math. 48 (1978), 75-98.
-
(1978)
Invent. Math.
, vol.48
, pp. 75-98
-
-
Vogan, D.A.1
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