Zobrazeno 1 - 10
of 171
pro vyhledávání: '"Ellis, Alexander"'
Autor:
Brundan, Jonathan, Ellis, Alexander P.
Publikováno v:
Proc. London Math. Soc. 115 (2017), 925-973
We introduce generalizations of Kac-Moody 2-categories in which the quiver Hecke algebras of Khovanov, Lauda and Rouquier are replaced by the quiver Hecke superalgebras of Kang, Kashiwara and Tsuchioka.
Comment: 49 pages, final version
Comment: 49 pages, final version
Externí odkaz:
http://arxiv.org/abs/1701.04133
Autor:
Brundan, Jonathan, Ellis, Alexander P.
Publikováno v:
Comm. Math. Phys. 351 (2017), 1045-1089
In the literature, one finds several competing notions for the super (i.e., Z/2-graded) analog of a monoidal category. The goal of this paper is to clarify these definitions and the connections between them. We also discuss in detail the example of t
Externí odkaz:
http://arxiv.org/abs/1603.05928
Autor:
Ellis, Alexander Palen
We introduce q- and signed analogues of several constructions in and around the theory of symmetric functions. The most basic of these is the Hopf superalgebra of odd symmetric functions. This algebra is neither (super-)commutative nor (super-)cocomm
Publikováno v:
Advances in Mathematics 350 (2019) 130-189
We identify the Grothendieck group of the tangle Floer dg algebra with a tensor product of certain $U_q(gl(1|1))$ representations. Under this identification, up to a scalar factor, the map on the Grothendieck group induced by the tangle Floer dg bimo
Externí odkaz:
http://arxiv.org/abs/1510.03483
Autor:
Ellis, Alexander P., Qi, You
We equip the odd nilHecke algebra and its associated thick calculus category with digrammatically local differentials. The resulting differential graded Grothendieck groups are isomorphic to two different forms of the positive part of quantum sl(2) a
Externí odkaz:
http://arxiv.org/abs/1504.01712
Autor:
Ellis, Alexander P., Lauda, Aaron D.
Publikováno v:
Quantum Topology, Volume 7, Issue 2, 2016, pages 329-433
We define a 2-category that categorifies the covering Kac-Moody algebra for sl(2) introduced by Clark and Wang. This categorification forms the structure of a super-2-category as formulated by Kang, Kashiwara, and Oh. The super-2-category structure i
Externí odkaz:
http://arxiv.org/abs/1307.7816
Publikováno v:
In Advances in Mathematics 9 July 2019 350:130-189
