group algebra
Tout
... symmetric group algebra are the combinatorial way and the character ...symmetric group, the structure coefficients can be expressed in terms of irreducible characters of the symmetric group ...
10
Block algebras with HH1 a simple Lie algebra
... Lie algebra structure of HH 1 (B) of a block B of a finite group algebra kG is invariant under stable equivalences of Morita type ...the algebra structure of B and the Lie algebra ...
6
Random walks on finite groups converging after finite number of steps
... (k ∈ N where N is the set of natural numbers). The set Ω(G) of the probabilities satisfying (1) is not empty as U ∈ Ω(G). It turns out that probabilities from Ω(G) are tightly connected with nilpotent elements of the ...
7
Ordinary Mod p Representations of the Metaplectic Cover of p-adic SL₂
... Hecke algebra of an unramified connected reductive group with the group algebra of its antidominant ...Hecke algebra with respect to the trivial representation of K , as is the case for ...
158
Blocks with quaternion defect group over a 2-adic ring: the case \tilde{A}_4
... This is, by Erdmann [6, III.1, III.3], up to isomorphism the unique 4-dimensional sym- metric k-algebra which is not isomorphic to the group algebra of the Klein four group. One might be ...
19
A note on the depth of a source algebra over its defect group
... source algebra of a block algebra over O of a finite group, with a defect group P ...twisted group algebra of the form O α (P o E) for some p 0 -subgroup E of Aut(P ) and some α ...
6
Fixed point characterization of left amenable Lau algebras
... compact group G: the Eymard-Fourier algebra A(G), the Fourier- Stieltjes algebra B(G), the group algebra L 1 (G), and the measure algebra M(G), ...
6
An extension of Helson Edwards theorem to Banach Modules
... Edwards theorem for the group algebra of a locally compact Abelian group see Rudin.. Note first that.[r] ...
6
Lamplighter groups and von Neumann's continuous regular rings
... ∗-regular algebra R, then there exists a smallest ∗-regular subalgebra containing X, the ∗-regular ...countable group and C Γ be its complex group ...the group algebra to its ...
14
Polynomial Identities on Algebras with Actions
... Hopf algebra actions and group-gradings, and subsequently show how to extend this ...Hopf algebra approach to the study of polynomial ...Hopf algebra actions: the group algebra ...
98
The groups of automorphisms of the Lie algebras of triangular polynomial derivations
... Definition, [2]. Let G be an Artinian uniserial Lie algebra. The ordinal number u.dim(G) := ord(J (G)) of the Artinian well-ordered set J (G) of nonzero ideals of G is called the uniserial dimension of the Lie ...
29
The group of automorphisms of the Lie algebra of derivations of a polynomial algebra
... the group (UAut K (P n ) n of polynomial automorphisms is a tiny part of the group Aut K ( u n ) but in contrast G n = Aut K (P n ...adjoint group of automorphisms A( u n ) of the Lie algebra ...
10
On Galois projective group rings
... Noting that the order of G is invertible we conclude that CG f is a central Galois C-algebra with is an Azumaya C-algebra; and so such Moreover, since Galois group G’ [13, Theorem 3.. by[r] ...
5
Isomorphy Classes of k-involutions of Algebraic Groups of Type G2 and F4.
... Albert algebra over a given field, we will consider two different ways to assure linear maps are ...Albert algebra in the first Tits construction form, we can check that the map is a bijection and respects ...
191
Application of linear transformation in numerical calculation
... Linear transformation is one of the core content of linear algebra. It plays an important role in between the whole structure and linear vector space memory link. Concept of linear transformation is the ...
9
The prime graph conjecture for integral group rings of some alternatings groups
... Let π(H) denote the Gruenberg-Kegel (prime) graph of a group H (not necessarily finite); i.e., the graph whose vertices are labeled by primes p for which there exists an element of order p in H and with an edge ...
11
The centre of quantum sl n at a root of unity
... algebraic group with Lie algebra g and let T be a maximal torus of ...Weyl group of G relative to T . Note that the character group X(T ) of T is equal to P ...
21
Computational problems in algebra: units in group rings and subalgebras of real simple Lie algebras
... as group theory, geometry, and theoretical ...computer algebra packages and programs have been developed for dealing with various aspects of complex simple Lie algebras and their ...computer algebra ...
90
Using Tangent Boost along a Worldline and Its Associated Matrix in the Lie Algebra of the Lorentz Group
... Lie group of Lorentz matrices (and its Lie algebra) on the Minkowski ...Lie algebra, which, together with the tangent boost, describes completely the dynamical system: acceleration and instantaneous ...
24
Completely positive multipliers of quantum groups
... The main objective of this paper is to establish the same result for quantum groups: any completely positive multiplier of L 1 ( ˆ G ) comes from a unitary corepresentation of G , or equiv- alently, from a ...
19