Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Drupieski, Christopher M."'
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
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
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
Publikováno v:
Alg. Number Th. 15 (2021) 1157-1180
We investigate cohomological support varieties for finite-dimensional Lie superalgebras defined over fields of odd characteristic. Verifying a conjecture from our previous work, we show the support variety of a finite-dimensional supermodule can be r
Externí odkaz:
http://arxiv.org/abs/1912.07117
Publikováno v:
Adv. Math. 384 (2021), 107754
We investigate support schemes for infinitesimal unipotent supergroups and their representations. Our main results provide a non-cohomological description of these schemes which generalizes the classical work of Suslin, Friedlander, and Bendel. As a
Externí odkaz:
http://arxiv.org/abs/1811.04840
Publikováno v:
Advances in Algebra SRAC 2017, Mobile, Alabama, USA, March 17-19, Springer Proceedings in Mathematics and Statistics, vol. 277, Springer, 2019, pp. 121-167
We show that if $G$ is an infinitesimal elementary supergroup scheme of height $\leq r$, then the cohomological spectrum $|G|$ of $G$ is naturally homeomorphic to the variety $\mathcal{N}_r(G)$ of supergroup homomorphisms $\rho: \mathbb{M}_r \rightar
Externí odkaz:
http://arxiv.org/abs/1712.05434
Publikováno v:
Adv. Math. 348 (2019), 277-352
We introduce a family $\mathbb{M}_{r;f,\eta}$ of infinitesimal supergroup schemes, which we call multiparameter supergroups, that generalize the infinitesimal Frobenius kernels $\mathbb{G}_{a(r)}$ of the additive group scheme $\mathbb{G}_{a}$. Then,
Externí odkaz:
http://arxiv.org/abs/1703.10237
Autor:
Drupieski, Christopher M.
The proof of Theorem 5.12 in [C.M. Drupieski, On injective modules and support varieties for the small quantum group, Int. Math. Res. Not. 2011 (2011), 2263-2294] does not make sense as written because the algebra $u_\zeta(\mathfrak{b}_\alpha^+)$ nee
Externí odkaz:
http://arxiv.org/abs/1606.09511
Publikováno v:
J. Algebra 525 (2019), 64-110
We study the spectrum of the cohomology rings of cocommutative Hopf superalgebras, restricted and non-restricted Lie superalgebras, and finite supergroup schemes. We also investigate support varieties in these settings and demonstrate that they have
Externí odkaz:
http://arxiv.org/abs/1601.04565