Zobrazeno 1 - 10 of 16 pro vyhledávání: '"I. Grojnowski"'
1
KRULL DIMENSION OF AFFINOID ENVELOPING ALGEBRAS OF SEMISIMPLE LIE ALGEBRAS
Autor: I. Grojnowski, Konstantin Ardakov
Publikováno v: Glasgow Mathematical Journal. 55:7-26
Using Beilinson–Bernstein localisation, we give another proof of Levasseur's theorem on the Krull dimension of the enveloping algebra of a complex semisimple Lie algebra. The proof also extends to the case of affinoid enveloping algebras.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68667b871dcca14a6b1284c290c6e0a0
https://doi.org/10.1017/s0017089513000487
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2
The strong Macdonald conjecture and Hodge theory on the loop Grassmannian
Autor: Susanna Fishel, Constantin Teleman, I. Grojnowski
Publikováno v: Annals of Mathematics. 168:175-220
We prove the strong Macdonald conjecture of Hanlon and Feigin for reductive groups G. In a geometric reformulation, we show that the Dolbeault cohomology $H^q(X;\Omega^p)$ of the loop Grassmannian X is freely generated by de Rham's forms on the disk
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1477b670de66e70b3eb0968d9231d178
https://doi.org/10.4007/annals.2008.168.175
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3
Strong multiplicity one theorems for affine Hecke algebras of type A
Autor: Monica Vazirani, I. Grojnowski
Publikováno v: Transformation Groups. 6:143-155
Given an irreducible module for the affine Hecke algebraH n of type A, we consider its restriction toH n−1. We prove that the socle of restriction is multiplicity free and moreover that the summands lie in distinct blocks. This is true regardless o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5e285f30689a0c94831ca3288c375f6d
https://doi.org/10.1007/bf01597133
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4
Canonical bases for the Brauer centralizer algebra
Autor: I. Grojnowski, Susanna Fishel
Publikováno v: Mathematical Research Letters. 2:15-26
In this paper we construct canonical bases for the Birman-Wenzl algebra BWn, the q-analogue of the Brauer centralizer algebra, and so define left, right and two-sided cells. We describe these objects combinatorially (generalizing the Robinson-Schenst
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bfc5513a58ad7b8ad04083f7ecf75f28
https://doi.org/10.4310/mrl.1995.v2.n1.a3
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7
Instantons and affine algebras I: The Hilbert scheme and vertex operators
Autor: I. Grojnowski
This is the first in a series of papers which describe the action of an affine Lie algebra with central charge $n$ on the moduli space of $U(n)$-instantons on a four manifold $X$. This generalises work of Nakajima, who considered the case when $X$ is
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85c7644d86a4678d40d81023263f9bcc
http://arxiv.org/abs/alg-geom/9506020
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9
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