منابع مشابه
Duality for Partial Group Actions
Given a finite group G acting as automorphisms on a ring A, the skew group ring A∗G is an important tool for studying the structure of G-stable ideals of A. The ring A∗G is G-graded, i.e.G coacts on A∗G. The Cohen-Montgomery duality says that the smash product A ∗ G#k[G]∗ of A ∗ G with the dual group ring k[G]∗ is isomorphic to the full matrix ring Mn(A) over A, where n is the order of G. In th...
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The two parameter quantum groupGr,s studied by Basu-Mallick [1] is generated by five elements, four of which form a Hopf subalgebra isomorphic to GLq(2), while the remaining generator can be used to relate Gr,s to the two parameter quantum deformation of GL(2). We construct explicitly the dual algebra i.e. the Quantised Universal Enveloping Algebra of Gr,s. We show that the Hopf algebra dual to...
متن کاملGroup Bundle Duality
This paper introduces a generalization of Pontryagin duality for locally compact Hausdorff abelian groups to locally compact Hausdorff abelian group bundles. First recall that a group bundle is just a groupoid where the range and source maps coincide. An abelian group bundle is a bundle where each fibre is an abelian group. When working with a group bundle G we will use X to denote the unit spa...
متن کاملT-Duality Group for Open String Theory
We study T-duality for open strings on tori Td. The general boundary conditions for the open strings are constructed, and it is shown that T-duality group, which preserves the mass spectrum of closed strings, preserves also the mass spectrum of the open strings. The open strings are transformed to those with different boundary conditions by T-duality. We also discuss the T-duality for D-brane m...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1996
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1996.173.375