Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Kujawa, Jonathan R."'
We consider the group algebra of the symmetric group as a superalgebra, and describe its Lie subsuperalgebra generated by the transpositions. The updated version corrects some of the arguments made in Sections 4.5 - 4.7. The statements of the main re
Externí odkaz:
http://arxiv.org/abs/2310.01555
Let $\mathbb{k}$ be a characteristic zero domain. For a locally unital $\mathbb{k}$-superalgebra $A$ with distinguished idempotents $I$and even subalgebra $a \subseteq A_{\bar 0}$, we define and study an associated diagrammatic monoidal $\mathbb{k}$-
Externí odkaz:
http://arxiv.org/abs/2302.04073
We survey the current state of various support variety theories for Lie superalgebras and finite supergroup schemes. We pay particular attention to the theory in characteristic zero developed by Boe, Kujawa, and Nakano using relative Lie superalgebra
Externí odkaz:
http://arxiv.org/abs/2208.01496
We show that the transition matrix from the standard basis to the web basis for a Specht module of the Hecke algebra is unitriangular and satisfies a strong positivity property whenever the Specht module is labeled by a partition with at most two par
Externí odkaz:
http://arxiv.org/abs/2207.00654
This paper investigates cohomology and support varieties for Lie superalgebras and restricted Lie superalgebras over a field of characteristic 2. The existence of an underlying ordinary Lie algebra allows us to obtain results that are still open in o
Externí odkaz:
http://arxiv.org/abs/2205.08672
Publikováno v:
J. Pure Appl. Algebra 226 (2022), no. 12, Paper No. 107136, 44pp
We adapt a construction due to Troesch to the category of strict polynomial superfunctors in order to construct complexes of injective objects whose cohomology is isomorphic to Frobenius twists of the (super)symmetric power functors. We apply these c
Externí odkaz:
http://arxiv.org/abs/2112.08476
We establish classical and categorical Howe dualities between the Lie superalgebras $\mathfrak{p}(m)$ and $\mathfrak{p}(n)$, for $m,n \geq 1$. We also describe a presentation via generators and relations as well as a Kostant $\mathbb{Z}$-form for the
Externí odkaz:
http://arxiv.org/abs/2109.03984
This paper introduces type P web supercategories. They are defined as diagrammatic monoidal $k$-linear supercategories via generators and relations. We study the structure of these categories and provide diagrammatic bases for their morphism spaces.
Externí odkaz:
http://arxiv.org/abs/2109.03410
Autor:
Boe, Brian D., Kujawa, Jonathan R.
We compute the complexity, z-complexity, and support varieties of the (thick) Kac modules for the Lie superalgebras of type P. We also show the complexity and the z-complexity have geometric interpretations in terms of support and associated varietie
Externí odkaz:
http://arxiv.org/abs/2001.11310
Webs are combinatorial diagrams used to encode homomorphisms between representations of Lie (super)algebras and related objects. This paper extends the theory of webs to the quantum group of type Q. We define a monoidal supercategory of quantum type
Externí odkaz:
http://arxiv.org/abs/2001.00663