Functional equations for L-functions of arithmetic orders.
Galois H-objects with a normal basis in closed categories. A cohomological interpretation.
In this paper, for a cocommutative Hopf algebra H in a symmetric closed category C with basic object K, we get an isomorphism between the group of isomorphism classes of Galois H-objects with a normal basis and the second cohomology group H2(H,K) of H with coefficients in K. Using this result, we obtain a direct sum decomposition for the Brauer group of H-module Azumaya monoids with inner action:BMinn(C,H) ≅ B(C) ⊕ H2(H,K)In particular, if C is the symmetric closed category of C-modules with K a...
Generalization of a theorem of Siegel
Generalizations of the primitive element theorem.
Generalized Brauer tree orders
Generators for the divided powers algebra of an algebra and trace identities
Global Dimension two orders are quasi-hereditary.
Gorenstein tiled orders with hereditary ring of multipliers of Jacobson radical.
Green walks in a hypergraph
Group rings and irreducible representations of space groups.
Group rings, Hecke orders, quasi-hereditary orders, cellular orders and deformations.
Groupes de torsion associés à des anneaux d'entiers
Groups of simple algebras
Hereditary orders
Hereditary orders, Gauss sums and supercuspidal representations of GLN.
Hermitian and quadratic forms over local classical crossed product orders
Let R be a complete discrete valuation ring with quotient field K, L/K be a Galois extension with Galois group G and S be the integral closure of R in L. If a is a factor set of G with values in the group of units of S, then (L/K,a) (resp. Λ =(S/R,a)) denotes the crossed product K-algebra (resp. crossed product R -order in A). In this paper hermitian and quadratic forms on Λ -lattices are studied and the existence of at most two irreducible non-singular quadratic Λ -lattices is proved (Theorem 3.5)....
Hintereinanderausführung von Formen.
Homology of maximal orders in central simple algebras.
Indecomposable representations of orders
Indecomposable -lattices for a class of metabelian groups