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DRINFELD MODULES WITH MAXIMAL GALOIS ACTION ON THEIR TORSION POINTS
DRINFELD MODULES MAXIMAL GALOIS ACTION TORSION POINTS
2015/8/26
To each Drinfeld module of generic characteristic defined over a finitely generated field, one can associate a Galois representation arising from the Galois action on its torsion points. Recent work o...
We prove an analogue of the Sato-Tate conjecture for Drinfeld modules. Using ideas of Drinfeld,J.-K. Yu showed that Drinfeld modules satisfy some Sato-Tate law, but did not describe the actual law.Mor...
On projective modules for Frobenius kernels and finite Chevalley groups
projective modules Frobenius kernels finite Chevalley groups Group Theory
2012/4/23
Let $G$ be a simply-connected semisimple algebraic group scheme over an algebraically closed field of characteristic $p > 0$. Let $r \geq 1$ and set $q = p^r$. We show that if a rational $G$-module $M...
Classification of finite dimensional irreducible modules over W-algebras
Classification of finite dimensional irreducible modules over W-algebras
2012/2/29
Finite W-algebras are certain associative algebras arising in Lie theory. Each W-algebra is constructed from a pair of a semisimple Lie algebra g (our base field is algebraically closed and of charact...
Let R be a ring. A right R-module U is called Tor-tilting if Cogen(U ) = U , where U R(U, Q/Z) and U = KerTor (U, -). Some characterizations of Tor-tilting = HomZ1+is Tor-tilting if and only if U i...
Lower bounds for finiteness of generalized local cohomology modules and their associated primes
Generalized local cohomology modules associatted prime Serre subcategories
2011/9/20
Abstract: Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$, $M$ a finite $R$--module and $X$ an arbitrary $R$--module. In this paper, we study relations between f...
Category equivalences involving graded modules over path algebras of quivers
Category equivalences path algebras of quivers Rings and Algebras
2011/9/14
Abstract: Let kQ be the path algebra of a quiver Q with its standard grading. We show that the category of graded kQ-modules modulo those that are the sum of their finite dimensional submodules, QGr(k...
Young's seminormal form and simple modules for $S_n$ in characteristic $p$
Young's seminormal form simple modules characteristic $p$ Quantum Algebra
2011/9/9
Abstract: We realize the integral Specht modules for the symmetric group $S_n$ as induced modules from the subalgebra of the group algebra generated by the Jucys-Murphy elements. We deduce from this t...
Complexity for Modules Over the Classical Lie Superalgebra gl(m|n)
Complexity the Classical Lie Superalgebra gl(m|n) Representation Theory
2011/9/5
Abstract: Let $\mathfrak{g}=\mathfrak{g}_{\bar{0}}\oplus \mathfrak{g}_{\bar{1}}$ be a classical Lie superalgebra and $\mathcal{F}$ be the category of finite dimensional $\mathfrak{g}$-supermodules whi...
On stably free modules over affine algebras
stably free modules affine algebras Grothendieck-Witt groups symplectic Witt groups
2011/8/25
Abstract: We prove that stably free modules of rank d-1 over a smooth affine algebra of dimension d over an algebraically closed field k are free, provided (d-1)! is nonzero in k.
The ternary commutator obstruction for internal crossed modules
cross-effect commutator internal crossed module semi-abelian category
2011/8/25
Abstract: We study the notion of internal crossed module in terms of cross-effects of the identity functor. These cross-effects give rise to a concept of commutator which allows a description of inter...
New Irreducible Modules for Heisenberg and Affine Lie Algebras
Irreducible Modules Heisenberg Affine Lie Algebras
2011/8/25
Abstract: We study $\mathbb Z$-graded modules of nonzero level with arbitrary weight multiplicities over Heisenberg Lie algebras and the associated generalized loop modules over affine Kac-Moody Lie a...
Stratifications of derived categories from tilting modules over tame hereditary algebras
Adele ring Recollement Stratification Tame hereditary algebra Tilting module Universal localization
2011/8/24
Abstract: n this paper, we consider the endomorphism algebras of infinitely generated tilting modules of the form $R_{\mathcal U}\oplus R_{\mathcal U}/R$ over tame hereditary $k$-algebras $R$ with $k$...
Covering morphisms of groupoids, derived modules and a 1-dimensional Relative Hurewicz Theorem
Covering morphisms of groupoids derived modules 1-dimensional Relative Hurewicz Theorem
2011/1/21
We fill a lacuna in the literature by giving a version in dimension 1 of the Relative Hurewicz Theorem, and relate this to abelianisations of groupoids, covering spaces,covering morphisms of groupoids...
Global and local Weyl modules for the untwisted multiloop Lie algebras were defined in [CFK] via homological properties. In this paper we extended the ideas to give a categorical definition of the Wey...