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This paper is an expanded version of a talk given at the Banach Center Symposium on Knot Theory in July/August 1995. Its aim is to provide a general survey about trace functions on Iwahori-Hecke algebras associated with finite Coxeter groups. The so-called Markov traces are relevant to knot theory as they can be used to construct invariants of oriented knots and links. We present a classification of Markov traces for the classical types A, B and D.

Trace Ideals of Relation Modules of Finite Groups.

Julian S. Williams (1978)

Mathematische Zeitschrift

Transitive Permutation Groups of Some Special Prime Degrees.

Martin W. Liebeck (1979)

Mathematische Zeitschrift

Trivial units in commutative group algebras.

P. Danchev (2008)

Extracta Mathematicae

Twisted group rings of strongly unbounded representation type

Leonid F. Barannyk, Dariusz Klein (2004)

Colloquium Mathematicae

Let S be a commutative local ring of characteristic p, which is not a field, S* the multiplicative group of S, W a subgroup of S*, G a finite p-group, and $S^{λ} G$ a twisted group ring of the group G and of the ring S with a 2-cocycle λ ∈ Z²(G,S*). Denote by $I n d_{m} (S^{λ} G)$ the set of isomorphism classes of indecomposable $S^{λ} G$ -modules of S-rank m. We exhibit rings $S^{λ} G$ for which there exists a function $f_{λ} : ℕ \to ℕ$ such that $f_{λ} (n) \geq n$ and $I n d_{f_{λ} (n)} (S^{λ} G)$ is an infinite set for every natural n > 1. In special cases $f_{λ} (ℕ)$ contains every natural number m >...

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Torsion units in integral group rings.

Total characters and Chebyshev polynomials.

Towards a classification of homogeneous integral table algebras of degree five.

Towards a classification of the irreducible representations in non-describing characteristic of a finite group of Lie type.

Trace functions on Iwahori-Hecke algebras

Trace Ideals of Relation Modules of Finite Groups.

Transitive Permutation Groups of Some Special Prime Degrees.

Trivial units in commutative group algebras.

Twisted group rings of strongly unbounded representation type

Two dimensional lattice vibrations from direct product representations of symmetry groups.

Two properties of the filtration of the outer automorphism groups of certain groups.

Two-rowed $A$ -type Hecke algebra representations at roots of unity.

Currently displaying 101 – 112 of 112