Zobrazeno 1 - 10
of 253
pro vyhledávání: '"George Lusztig"'
Autor:
George Lusztig, Zhiwei Yun
Publikováno v:
Forum of Mathematics, Pi, Vol 9 (2021)
We fix an error on a $3$ -cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’. We give the corrected statements of the main results.
Externí odkaz:
https://doaj.org/article/55d84d1c0c9d43e0b2a8c63bf50b7a70
Autor:
GEORGE LUSZTIG, ZHIWEI YUN
Publikováno v:
Forum of Mathematics, Pi, Vol 8 (2020)
For a reductive group $G$ over a finite field, we show that the neutral block of its mixed Hecke category with a fixed monodromy under the torus action is monoidally equivalent to the mixed Hecke category of the corresponding endoscopic group $H$ wit
Externí odkaz:
https://doaj.org/article/1dcdaf052cfc4ca3b6d6e8be1ed60b9d
Autor:
George Lusztig, David A., Jr. Vogan
Publikováno v:
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES. 17
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e40f134fe00525fa38769ffa00aa4d79
https://doi.org/10.21915/bimas.2022401
https://doi.org/10.21915/bimas.2022401
Autor:
George Lusztig
Publikováno v:
arXiv
We discuss some of the contributions of T.A. Springer (1926–2011) to the theory of algebraic groups, with emphasis on his work on unipotent classes and representations of Weyl groups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::425adccd78714265c195c01dcf9de14b
https://doi.org/10.1016/j.indag.2020.08.007
https://doi.org/10.1016/j.indag.2020.08.007
Autor:
George Lusztig
Publikováno v:
Indagationes Mathematicae. 32:968-986
Let $D$ be a connected component of a possibly disconnected reductive group $G$ over an algebraic closed field. We define a partition of $D$ into finitely many Strata each of which is a union of $G^0$-conjugacy classes of fixed dimension. In the case
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce0fa12545b0588e2f71030e1d262ddd
https://doi.org/10.1016/j.indag.2020.09.011
https://doi.org/10.1016/j.indag.2020.09.011
Autor:
George Lusztig
Publikováno v:
Representation Theory of the American Mathematical Society. 25:166-172
We state a conjecture on the reduction modulo the defining characteristic of a unipotent representation of a finite reductive group.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6295548e3f6a875f73295355b3cb0ac9
https://doi.org/10.1090/ert/562
https://doi.org/10.1090/ert/562
Autor:
George Lusztig
Publikováno v:
Representation Theory of the American Mathematical Society. 24:397-402
For any semifield K we define a K-form of a partial flag manifold of a semisimple group G of simply laced type over the complex numbers. The definition is in terms of the theory of canonical bases.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7314b586b92d5241c8f06bebdcd472c7
https://doi.org/10.1090/ert/547
https://doi.org/10.1090/ert/547
Autor:
George Lusztig, Zhiwei Yun
Publikováno v:
Representation Theory of the American Mathematical Society. 24:360-396
Let G G be a reductive group over C \mathbf {C} . Assume that the Lie algebra g \frak g of G G has a given grading ( g j ) (\frak g_j) indexed by a cyclic group Z / m \mathbf {Z}/m such that g 0 \frak g_0 contains a Cartan subalgebra of g \frak g . T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35732b1cc6a5c34a2874c342edba6d56
https://doi.org/10.1090/ert/546
https://doi.org/10.1090/ert/546
Autor:
George Lusztig
Publikováno v:
Representation Theory of the American Mathematical Society. 24:178-209
Let G(F_q) be the group of rational points of a simple algebraic group defined and split over a finite field F_q. In this paper we define a new basis for the Grothendieck group of unipotent representations of G(F_q).
36 pages. arXiv admin note:
36 pages. arXiv admin note:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f97b2aa775bd54b5d7c2c55f3b7065e
https://doi.org/10.1090/ert/542
https://doi.org/10.1090/ert/542
Autor:
George Lusztig
Publikováno v:
Representation Theory of the American Mathematical Society. 23:439-461
Let W be a Weyl group. We define a new basis for the Grothendieck group of representations of W. This basis contains on the one hand the special representations of W and on the other hand the representations carried by the left cells of W. We show th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3d64e2e760b658be1299848985a868b
https://doi.org/10.1090/ert/534
https://doi.org/10.1090/ert/534