Support varieties for restricted lie algebras
WebA conjecture describing the support variety of Z χ ( λ) via that of its restricted counterpart is given: 𝒱 𝔤 ( Z χ ( λ)) = 𝒱 𝔤 ( Z 0 ( λ)) ∩ 𝔷 𝔤 ( χ). Under the assumption of p ≥ h (the Coxeter number) and λ p -regular, this conjecture is proved when χ falls in the regular nilpotent orbit for any 𝔤 … Webelementary subalgebras of dimension r of a (p-restricted) Lie algebra g for various r 1. These varieties E(r;g) are the natural ambient varieties for generalized support varieties for …
Support varieties for restricted lie algebras
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WebThe main purpose of this paper is to present a common framework where most of the existing occurrences of support varieties fit in. Examples of such are support varieties for finite dimensional algebras, finite groups, restricted finite dimensional Lie algebras, smooth algebraic groups, finite group schemes, stable homotopy categories and complete … WebSep 29, 2011 · This is true in special cases for e.g. 1) A is a finite dimensional Hopf algebra [16], 2) A is restricted enveloping algebra of restricted Lie superalgebras [1], 3) A is a Frobenius-Lusztig kernel ...
WebSUPPORT VARIETIES OF NON-RESTRICTED MODULES OVER LIE ALGEBRAS OF REDUCTIVE GROUPS Published online by Cambridge University Press: 01 April 1997 … WebLie algebras and their restricted modules (e.g., [12]). Work of Friedlander-Parshall [12] and J. Jantzen [14] provided a description of the cohomological support variety of a restricted g …
WebOct 5, 2024 · Here, we will present the support variety theory of Erdmann, Holloway, Snashall, Solberg, and Taillefer [21, 50] for self-injective algebras (based on Hochschild cohomology), as well as the closely related generalization to Hopf algebras of support varieties for finite group representations (see, e.g., [25, 27, 29, 40]). WebJul 15, 2012 · It is known that support varieties can be defined once the finite generation of cohomology is established, which is hard to prove in general. In this paper, we prove this …
Weband J. Jantzen [JI] concerning the cohomology of restricted Lie algebras are forerun-ners of the results presented here: finite-dimensional restricted Lie algebras are in 1-1 correspondence with infinitesimal group schemes of height < 1. Our main theo-rems (Theorems 5.2 and 6.7 below) when restricted to infinitesimal group schemes
Webthe representation theory of restricted Lie algebras. Through their work and the work of those who followed, support varieties for restricted Lie algebras are comparatively well … green spots on monitorWebApr 1, 1998 · Inspired by these successes, similar theories of support have been developed and successfully applied for different kinds of algebras. For example, for restricted Lie algebras [23], finite ... green spots on teeth near gumsWebMay 1, 2024 · We study the spectrum of the cohomology rings of cocommutative Hopf superalgebras, restricted and non-restricted Lie superalgebras, and finite supergroup … fnaf 5 william aftonWebThis paper deals with representations of Lie algebras of reductive groups in prime charateristic. Several results previously known only for restricted representations (on graded structures, filtrations, translation functors) are extended to representations with a non-zero p -character. In a special case in type B 2 all simple modules with a certain p -character are … fnaf 5 youtubeWebA conjecture describing the support variety of Z χ ( λ) via that of its restricted counterpart is given: 𝒱 𝔤 ( Z χ ( λ)) = 𝒱 𝔤 ( Z 0 ( λ)) ∩ 𝔷 𝔤 ( χ). Under the assumption of p ≥ h (the Coxeter number) … fnaf 6 audio promptsWebResearch partially supported by the N.S.F. The first author gratefully acknowledges the support of the Institute for Advanced Study Rights and permissions Reprints and Permissions About this article Cite this article Friedlander, E.M., Parshall, B.J. Support … green spots on nails after fake nailsWebof the results presented here: nite dimensional restricted Lie algebras are in 1-1 correspondence with in nitesimal group schemes of height 1. Our main theorems (Theorems 5.2 and 6.7 below) when restricted to in nitesimal group schemes of height 1 signi cantly strengthen previously known cohomological information for restricted Lie algebras. fnaf 6 addon minecraft