Search
Search Results
-
External Vertices for Crystals of Affine Type A
We demonstrate that for a fixed dominant integral weight and fixed defect d , there are only a finite number of Morita equivalence classes of blocks...
-
The Benson - Symonds Invariant for Permutation Modules
In a recent paper, Dave Benson and Peter Symonds defined a new invariant γ G ( M ) for a finite dimensional module M of a finite group G which attempts...
-
Generalized Symmetry Classes of Tensors
Let V be a unitary space. For an arbitrary subgroup G of the full symmetric group S m and an arbitrary irreducible unitary representation Λ of G , we...
-
Transitioning Between Tableaux and Spider Bases for Specht Modules
Regarding the Specht modules associated to the two-row partition ( n , n ), we provide a combinatorial path model to study the transitioning matrix from...
-
Varieties of Null-Filiform Leibniz Algebras Under the Action of Hopf Algebras
Let L be an n -dimensional null-filiform Leibniz algebra over a field K . We consider a finite dimensional cocommutative Hopf algebra or a Taft algebra H ...
-
Classifying Algebras with Graded Involutions or Superinvolutions with Multiplicities of their Cocharacter Bounded by One
Let A be superalgebra over a field of characteristic zero and let ∗ be either a graded involution or a superinvolution defined on A . In this paper we...
-
Partial and Global Representations of Finite Groups
Given a subgroup H of a finite group G , we begin a systematic study of the partial representations of G that restrict to global representations of H ....
-
McKay Quivers and Lusztig Algebras of Some Finite Groups
We are interested in the McKay quiver Γ( G ) and skew group rings A ∗ G , where G is a finite subgroup of GL( V ), where V is a finite dimensional vector...
-
Decomposable Specht Modules Indexed by Bihooks II
Previously, the last two authors found large families of decomposable Specht modules labelled by bihooks, over the Iwahori–Hecke algebra of type B ....
-
Basic Sets for the Double Covering Groups of the Symmetric and Alternating Groups in Odd Characteristic
In this paper, following the methods of Brunat and Gramain (J. Reine Angew. Math. 641 , 177–202,
2010 ), we show that the double covering groups of the... -
On the Decomposition of Tensor Representations of Symmetric Groups
Following the general idea of Schur–Weyl scheme and using two suitable symmetric groups (instead of one), we define so called decomposition tensor of...
-
On the centers of quantum groups of A n -type
Let g be the finite dimensional simple Lie algebra of type An, and let U̅ = U q (g,Λ) and U = U q (g, Q ) be the quantum groups defined over the weight...
-
Vertices of Modules and Decomposition Numbers of C2 ≀ Sn
Given n ∈ N , we consider the imprimitive wreath product C 2 ≀ S n . We study the structure of the p -modular reduction of modules whose ordinary...
-
Modeling of an Asymptotically Central Markov Process on 3D Young Graph
The paper discusses the asymptotics of path probabilities in Markov processes close to a central one on 3D Young graph. We consider a one-parameter...
-
Comparison of Gelfand-Tsetlin Bases for Alternating and Symmetric Groups
Young’s orthogonal basis is a classical basis for an irreducible representation of a symmetric group. This basis happens to be a Gelfand-Tsetlin...
-
Restricting Specht modules of cyclotomic Hecke algebras
This paper proves that the restriction of a Specht module for a (degenerate or non-degenerate) cyclotomic Hecke algebra, or KLR...