Page 1 Next

Displaying 1 – 20 of 90

Showing per page

Hall algebra of morphism category

QingHua Chen, Liwang Zhang (2024)

Czechoslovak Mathematical Journal

This paper investigates a universal PBW-basis and a minimal set of generators for the Hall algebra ( C 2 ( 𝒫 ) ) , where C 2 ( 𝒫 ) is the category of morphisms between projective objects in a finitary hereditary exact category 𝒜 . When 𝒜 is the representation category of a Dynkin quiver, we develop multiplication formulas for the degenerate Hall Lie algebra , which is spanned by isoclasses of indecomposable objects in C 2 ( 𝒫 ) . As applications, we demonstrate that contains a Lie subalgebra isomorphic to the central extension...

Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products

Pavel Etingof, Wee Liang Gan, Victor Ginzburg, Alexei Oblomkov (2007)

Publications Mathématiques de l'IHÉS

The main result of the paper is a natural construction of the spherical subalgebra in a symplectic reflection algebra associated with a wreath-product in terms of quantum hamiltonian reduction of an algebra of differential operators on a representation space of an extended Dynkin quiver. The existence of such a construction has been conjectured in [EG]. We also present a new approach to reflection functors and shift functors for generalized preprojective algebras and symplectic reflection algebras...

Hereditary orders

Irving Reiner (1974)

Rendiconti del Seminario Matematico della Università di Padova

Hermitian and quadratic forms over local classical crossed product orders

Y. Hatzaras, Th. Theohari-Apostolidi (2000)

Colloquium Mathematicae

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)....

Currently displaying 1 – 20 of 90

Page 1 Next