Trimedial quasigroups and generalized modules I.
Trivial units in commutative group algebras.
Triviality of Certain Automorphisms of Semi-Simple Groups over Local Fields.
Troesch complexes and extensions of strict polynomial functors
We develop a new approach of extension calculus in the category of strict polynomial functors, based on Troesch complexes. We obtain new short elementary proofs of numerous classical -computations as well as new results. In particular, we get a cohomological version of the “fundamental theorems” from classical invariant theory for for big enough (and we give a conjecture for smaller values of ). We also study the “twisting spectral sequence” converging to the extension groups between the...
Twin trees I.
Twisted gamma filtration and algebras with orthogonal involution
For the Grothendieck group of a split simple linear algebraic group, the twisted γ-filtration provides a useful tool for constructing torsion elements in -rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the γ-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.
Twisted group rings of strongly unbounded representation type
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 a twisted group ring of the group G and of the ring S with a 2-cocycle λ ∈ Z²(G,S*). Denote by the set of isomorphism classes of indecomposable -modules of S-rank m. We exhibit rings for which there exists a function such that and is an infinite set for every natural n > 1. In special cases contains every natural number m >...
Twisted K-theory of differentiable stacks
Two classical results in the quantum mixed case.
Two combinatorial problems in group theory
Two Congruence Lattices of Completely Simple Semigroups.
Two decidable Markov properties over a class of solvable groups.
Two dimensional lattice vibrations from direct product representations of symmetry groups.
Two enumeration principles for free algebras
Two examples of inverse semigroups algebras.
Two Generator Fuchsian Groups of Genus One.
Two Multiplicit-Free Permutation Representations of the General Linear Group GL(n, q2).
Two notes on radicals of Abelian groups
Two problems on varieties of groups generated by wreath products.
Two properties of the filtration of the outer automorphism groups of certain groups.