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Stabilizers of Subspaces under Similitudes of the Klein Quadric, and Automorphisms of Heisenberg Algebras
Klein quadric Grassmann space automorphism orbit nilpotent Lie algebra Heisenberg algebra
2011/1/17
We determine the groups of automorphisms and their orbits for nilpotent Lie algebras of
class 2 and small dimension, over arbitrary fields (including the characteristic 2 case).
Structure of Chinese algebras
Chinese monoid monoid algebra prime ideal homogeneous congruence
2010/12/14
The structure of the algebra K[M] of the Chinese monoid M over a field K is studied. The minimal prime ideals are described. They are determined by certain homogeneous congruences on M and they are in...
The Lattice and Simplex Structure of States on Pseudo Effect Algebras
Pseudo effect algebra effect algebra Riesz Decomposition Properties
2010/11/30
We study states, measures, and signed measures on pseudo effect algebras with some kind of the Riesz Decomposition Property, (RDP). We show that the set of all Jordan signed measures is always an Abel...
Enveloping algebras of Slodowy slices and Goldie rank
Enveloping algebras Slodowy slices Goldie rank
2010/12/8
Let U(g, e) be the finite W-algebra associated with a nilpotent element e in a complex simple Lie algebra g = Lie(G) and let I be a primitive ideal of the enveloping algebra U(g) whose associated vari...