Zobrazeno 1 - 10
of 22 968
pro vyhledávání: '"Mathematics::Quantum Algebra"'
Autor:
Ryosuke Shimada
Publikováno v:
Journal of Algebra. 623:86-126
In this paper we study the geometric structure of affine Deligne-Lusztig varieties for $GL_3$ and $b$ basic. We completely determine the irreducible components of the affine Deligne-Lusztig variety. In particular, we classify the cases where all of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::813cd1dff9cea047d842e1c0adfb2f47
https://doi.org/10.1016/j.jalgebra.2023.02.015
https://doi.org/10.1016/j.jalgebra.2023.02.015
Autor:
Przezdziecki, Tomasz
Publikováno v:
Pacific Journal of Mathematics. 322:407-441
We consider an "orientifold" generalization of Khovanov-Lauda-Rouquier algebras, depending on a quiver with an involution and a framing. Their representation theory is related, via a Schur-Weyl duality type functor, to Kac-Moody quantum symmetric pai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1821a7770cf5f270e9471e2ae5396acd
https://doi.org/10.2140/pjm.2023.322.407
https://doi.org/10.2140/pjm.2023.322.407
Autor:
Solleveld, Maarten
Publikováno v:
Annals of K-Theory, 8, 81-126
Annals of K-Theory, 8, 1, pp. 81-126
Annals of K-Theory, 8, 1, pp. 81-126
Let A be a \C-algebra with an action of a finite group G, let $\natural$ be a 2-cocycle on $G$ and consider the twisted crossed product $A \rtimes \C [G,\natural]$. We determine the Hochschild homology of $A \rtimes \C [G,\natural]$ for two classes o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de030126bd6c12d923c14d1ab9615ed2
https://doi.org/10.2140/akt.2023.8.81
https://doi.org/10.2140/akt.2023.8.81
Publikováno v:
Theoretical and Mathematical Physics. 215:609-621
The paper extends the notion of braided set and its close relative - the Yang-Baxter set - to the category of vector spaces and explore structure aspects of such a notion as morphisms and extensions. In this way we describe a family of solutions for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d60a6a4c68d6fa8db81439a44c389a2f
https://doi.org/10.1134/s0040577923050021
https://doi.org/10.1134/s0040577923050021
Publikováno v:
Journal of Algebra. 622:30-68
We obtain a mixed complex simpler than the canonical one the computes the type cyclic homologies of a crossed product with invertible cocycle $A\times_{\rho}^f H$, of a weak module algebra $A$ by a weak Hopf algebra $H$. This complex is provided with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62822c45572ebfd9f5df8c657af9833b
https://doi.org/10.1016/j.jalgebra.2023.01.007
https://doi.org/10.1016/j.jalgebra.2023.01.007
Autor:
Lenzen, Fabian
Publikováno v:
Communications in Algebra. :1-31
Based on the NilHecke algebra $\mathsf{NH}_n$, the odd NilHecke algebra developed by Ellis, Khovanov and Lauda and Kang, Kashiwara and Tsuchioka's quiver Hecke superalgebra, we develop the Clifford Hecke superalgebra $\mathsf{NH}\mathfrak{C}_n$ as an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c76833475fdad452f2bad144109c04e
https://doi.org/10.1080/00927872.2023.2196336
https://doi.org/10.1080/00927872.2023.2196336
Autor:
Wu, Quanshui, Zhu, Ruipeng
Publikováno v:
Journal of Algebra. 620:478-501
We prove that the Yoneda Ext-algebra of a Takeuchi smash product is the graded Takeuchi smash product of the Yoneda Ext-algebras of the two algebras or modules involved. As an application, we prove that graded Takeuchi smash products preserve Artin-S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc609e778e6ac62dbffde7ee7f7ce557
https://doi.org/10.1016/j.jalgebra.2022.12.034
https://doi.org/10.1016/j.jalgebra.2022.12.034
Autor:
Thibault Decoppet
Publikováno v:
Journal of Algebra. 620:89-112
We give a formula for the relative Deligne tensor product of two indecomposable finite semisimple module categories over a pointed braided fusion category over an algebraically closed field.
Minor corrections
Minor corrections
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36a5baec934e9199c98a2153726babf2
https://doi.org/10.1016/j.jalgebra.2022.12.029
https://doi.org/10.1016/j.jalgebra.2022.12.029
Autor:
Addabbo, Darlayne, Barron, Katrina
Publikováno v:
Communications in Algebra. 51:3405-3463
We determine the level two Zhu algebra for the Heisenberg vertex operator algebra $V$ for any choice of conformal element. We do this using only the following information for $V$: the internal structure of $V$; the level one Zhu algebra of $V$ alread
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d29dbbfedbb8e61f296e2e0e26e98ae1
https://doi.org/10.1080/00927872.2023.2184638
https://doi.org/10.1080/00927872.2023.2184638
Autor:
Damiano Rossi
Publikováno v:
Journal of Algebra. 618:42-55
We refine the reduction theorem for the McKay Conjecture proved by Isaacs, Malle and Navarro. Assuming the inductive McKay condition, we obtain a strong version of the McKay Conjecture that gives central isomorphic character triples.Crown Copyright (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a50c4b8e95c9d98dc0a69c6858721948
https://doi.org/10.1016/j.jalgebra.2022.12.004
https://doi.org/10.1016/j.jalgebra.2022.12.004