-sequences in abelian groups.
Tamely ramified intertwining algebras.
Tamely ramified supercuspidal representations
Tamely ramified supercuspidal representations of classical groups. II. Representation theory
Tamely ramified supercuspidal representations of classical groups. I. Filtrations
Tangent Lie algebras to the holonomy group of a Finsler manifold
Our goal in this paper is to make an attempt to find the largest Lie algebra of vector fields on the indicatrix such that all its elements are tangent to the holonomy group of a Finsler manifold. First, we introduce the notion of the curvature algebra, generated by curvature vector fields, then we define the infinitesimal holonomy algebra by the smallest Lie algebra of vector fields on an indicatrix, containing the curvature vector fields and their horizontal covariant derivatives with respect to...
Temperature states on gauge groups
Tempered groups.
Tempered reductive homogeneous spaces
Let be a semisimple algebraic Lie group and a reductive subgroup. We find geometrically the best even integer for which the representation of in is almost . As an application, we give a criterion which detects whether this representation is tempered.
Tempered subgroups and representations with minimal decay of matrix coefficients
Tensor products and p-induction of representations on Banach spaces.
In this paper we obtain Lp versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius Reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing.
Tensor products in the category of topological vector spaces are not associative
We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces. The same pathology occurs for tensor products of Hausdorff abelian topological groups.
Tensor products of finite and infinite dimensional representations of semisimple Lie algebras
Ternary symmetries and the Lorentz group
We show that the Lorentz and the SU(3) groups can be derived from the covariance principle conserving a Z₃-graded three-form on a Z₃-graded cubic algebra representing quarks endowed with non-standard commutation laws. The ternary commutation relations on an algebra generated by two elements lead to cubic combinations of three quarks or antiquarks that transform as Lorentz spinors, and binary quark-anti-quark combinations that transform as Lorentz vectors.
Test vectors for linear forms.
The Abel transform and shift operators
The abelian subgroup conjecture: A counter example.
The a-bicyclic semigroup as a topological semigroup.
The admissible dual of . I
The Algbraic von Neumann Kernel and Linear Algebraic Groups.