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Neutrosophic Triplet G-Module [PDF]
Mathematics, 2018 In this study, the neutrosophic triplet G-module is introduced and the properties of neutrosophic triplet G-module are studied. Furthermore, reducible, irreducible, and completely reducible neutrosophic triplet G-modules are defined, and relationships of these structures with each other are examined.
Florentin Smarandache +2 more
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Contraction par Frobenius de G-modules [PDF]
Annales de l’institut Fourier, 2011 Let G be a simply connected semisimple algebraic group over an algebraically closed field k of positive characteristic. We will untwist the structure of G-modules by a newly found splitting of the Frobenius endomorphism on the algebra of distributions of G, which, for example, explains the subsumed G-equivariant nature of the Frobenius splitting of the
Gros, Michel, Kaneda, Masaharu
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Autoequivalences of the Tensor Category of Uq𝔤-modules [PDF]
International Mathematics Research Notices, 2011 We prove that for q\in\C* not a nontrivial root of unity the cohomology group defined by invariant 2-cocycles in a completion of Uq(g) is isomorphic to H^2(P/Q;\T), where P and Q are the weight and root lattices of g. This implies that the group of autoequivalences of the tensor category of Uq(g)-modules is the semidirect product of H^2(P/Q;\T) and the
Neshveyev, Sergey, Tuset, Lars
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Localization of g-modules on the affine Grassmannian [PDF]
Annals of Mathematics, 2009 33 ...
Edward Frenkel, Dennis Gaitsgory
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A Question about Pic(X) as a G-module [PDF]
Computational Aspects of Algebraic Curves, 2005 12 ...
David Joyner +2 more
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The second syzygy of the trivial $G$-module, and an equivariant main conjecture
Advanced Studies in Pure Mathematics, 2021 For a finite abelian $p$-extension $K/k$ of totally real fields and the cyclotomic $\mathbb{Z}_{p}$-extension $K_{\infty}/K$, we prove a strong version of an equivariant Iwasawa main conjecture by determining completely the Fitting ideal over $\mathbb{Z}_{p}[[\mathop{\rm Gal}\nolimits(K_{\infty}/k)]]$ of the classical Iwasawa module $X_{K_{\infty},S}$,
Greither, Cornelius +2 more
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On Singular Localization of $\mathfrak{g}$-modules
, 2010 We prove a singular version of Beilinson-Bernstein localization for a complex semi-simple Lie algebra following ideas from the positive characteristic case done by \cite{BMR2}. We apply this theory to translation functors, singular blocks in the Bernstein-Gelfand-Gelfand category $\BGGcat$ and Whittaker modules.
Backelin, E, Kremnizer, K
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Filtrations and Growth of $\mathbb G$-modules
, 2023 We investigate infinite dimensional modules for an affine group scheme $\mathbb G$ of finite type over a field of positive characteristic $p$. For any subspace $X \subset \mathcal O(\mathbb G)$ of the coordinate algebra of $\mathbb G$, we consider the abelian subcategory $Mod(\mathbb G,X) \subset Mod(\mathbb G)$ of ``$X$-comodules" and the left exact ...
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Invariants of Orthogonal G-Modules from the Character Table [PDF]
Experimental Mathematics, 2000 Character-theoretic methods using Clifford algebras are developed to describe the quadratic forms on a vector space V that are invariant under a finite subgroup G of $\GL(V)$ such that the order of the commutator factor group of G is odd.
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Exactness Of Commutative (Implicative) Soft G-Modules
, 2018 In this paper, we obtain some characterizations for soft sub modules of modules with respect to image, pre image and upper a-inclusion.
N. Rajakumari, J. Arun Micheal
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