Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Matthew Westaway"'
Autor:
Matthew Westaway, Dmitriy Rumynin
Publikováno v:
Transactions of the American Mathematical Society
We continue our exploration of various approaches to integration of representations from a Lie algebra $\mbox{Lie} (G)$ to an algebraic group $G$ in positive characteristic. In the present paper we concentrate on an approach exploiting exponentials.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e37a58ce1f727f11f4d60c8ba2a028c7
https://doi.org/10.1090/tran/8449
https://doi.org/10.1090/tran/8449
Autor:
Matthew Westaway
Humphreys' conjecture on blocks parametrises the blocks of reduced enveloping algebras $U_\chi({\mathfrak g})$, where ${\mathfrak g}$ is the Lie algebra of a reductive algebraic group over an algebraically closed field of characteristic $p>0$ and $\c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4157e6d20dc49367d0e77475f0bbb58e
http://arxiv.org/abs/2111.10909
http://arxiv.org/abs/2111.10909
Autor:
Matthew Westaway
Publikováno v:
Journal of Pure and Applied Algebra. 226:107033
We develop the theory of a category ${\mathscr C}_A$ which is a generalisation to non-restricted ${\mathfrak g}$-modules of a category famously studied by Andersen, Jantzen and Soergel for restricted ${\mathfrak g}$-modules, where ${\mathfrak g}$ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36623d3f1825ddb5c6145e9963c7fe93
https://doi.org/10.1016/j.jpaa.2022.107033
https://doi.org/10.1016/j.jpaa.2022.107033
Autor:
Dmitriy Rumynin, Matthew Westaway
We investigate a method of construction of central deformations of associative algebras, which we call centrification. We prove some general results in the case of Hopf algebras and provide several examples.
Version 2: many minor improvements, o
Version 2: many minor improvements, o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3f4e928e9fabc2e79cc77f00c842acf
http://arxiv.org/abs/2001.09872
http://arxiv.org/abs/2001.09872
Autor:
Matthew Westaway
Steinberg's tensor product theorem shows that for semisimple algebraic groups the study of irreducible representations of higher Frobenius kernels reduces to the study of irreducible representations of the first Frobenius kernel. In the preceding pap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eeeb55ec107f8b04310513ff03960fef
http://arxiv.org/abs/1904.10860
http://arxiv.org/abs/1904.10860
Autor:
Matthew Westaway
Publikováno v:
J. Math. Soc. Japan 73, no. 1 (2021), 221-261
In the late 1980s, Friedlander and Parshall studied the representations of a family of algebras which were obtained as deformations of the distribution algebra of the first Frobenius kernel of an algebraic group. The representation theory of these al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35cda5fbdaf2ad9357a509fa939f6382
Publikováno v:
Communications in Algebra
We investigate the universal cover of a topological group that is not necessarily connected. Its existence as a topological group is governed by a Taylor cocycle, an obstruction in 3-cohomology. Alternatively, it always exists as a topological 2-grou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::068876d3e631c0a865414b40290a107a
http://arxiv.org/abs/1709.09728
http://arxiv.org/abs/1709.09728
Autor:
Dmitriy Rumynin, Matthew Westaway
Publikováno v:
Pacific Journal of Mathematics
We explore the integration of representations from a Lie algebra to its algebraic group in positive characteristic. An integrable module is stable under the twists by group elements. Our aim is to investigate cohomological obstructions for passing fr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f3f086cfac9d7516fa0698222054a71
Autor:
Matthew Westaway
Ulf Rehmann and Jun Morita, in their 1989 paper "A Matsumoto-type theorem for Kac-Moody groups", gave a presentation of $K_2(A,F)$ for any generalised Cartan matrix $A$ and field $F$. The purpose of this paper is to use this presentation to compute $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04962ac58f05821fd8c517cde1e44c9a
http://arxiv.org/abs/1607.02032
http://arxiv.org/abs/1607.02032