From Quantum Tori to Quantum Homogeneous Spaces

2008 ◽  
pp. 67-74
Author(s):  
S. Kamimura
Keyword(s):  
Homogeneous Spaces ◽  
Quantum Homogeneous Spaces ◽  
Quantum Tori

scholarly journals Quantum homogeneous spaces as quantum quotient spaces

1996 ◽  
Vol 37 (5) ◽  
pp. 2388-2399 ◽  
Author(s):  
Tomasz Brzeziński
Keyword(s):  
Homogeneous Spaces ◽  
Quantum Homogeneous Spaces ◽  
Quotient Spaces

scholarly journals Subgroups of quantum groups

2018 ◽  
Vol 70 (2) ◽  
pp. 509-533
Author(s):  
Georgia Christodoulou
Keyword(s):  
Quantum Group ◽  
Quantum Groups ◽  
Homogeneous Spaces ◽  
General Definition ◽  
Monoidal Categories ◽  
Categorical Approach ◽  
Quantum Homogeneous Spaces

Abstract We investigate the notion of a subgroup of a quantum group. We suggest a general definition, which takes into account the work that has been done for quantum homogeneous spaces. We further restrict our attention to reductive subgroups, where some faithful flatness conditions apply. Furthermore, we proceed with a categorical approach to the problem of finding quantum subgroups. We translate all existing results into the language of module and monoidal categories and give another characterization of the notion of a quantum subgroup.

ON THE QUANTUM RUIJSENAARS MODEL, SOME QUANTUM HOMOGENEOUS SPACES AND HECKE ALGEBRAS

2004 ◽  
Vol 19 (supp02) ◽  
pp. 224-239
Author(s):  
N. IORGOV
Keyword(s):  
Homogeneous Space ◽  
Explicit Form ◽  
Homogeneous Spaces ◽  
Hecke Algebras ◽  
The Other ◽  
Difference Operators ◽  
Quantum Homogeneous Spaces ◽  
Quantum Analogue ◽  
Affine Hecke Algebras

The aim of the article is to derive in the explicit form the radial components of Casimir elements of Uq( gl n) corresponding to a quantum analogue of the homogeneous space GL (n)/ SO (n). They coincide with the Macdonald–Ruijsenaars difference operators (MRDOs), if one starts from a special set of Casimir elements from the center of Uq( gl n). The derivation is essentially based on Cherednik's approach to MRDOs by means of affine Hecke algebras. From the other side, MRDOs coincide with commuting Hamiltonians of quantum trigonometric n-particle Ruijsenaars model.

Quantum homogeneous spaces with faithfully flat module structures

1999 ◽  
Vol 111 (1) ◽  
pp. 157-190 ◽  
Author(s):  
E. F. Müller ◽  
H. -J. Schneider
Keyword(s):  
Homogeneous Spaces ◽  
Flat Module ◽  
Quantum Homogeneous Spaces ◽  
Module Structures

Coorbits of Quantum Homogeneous Spaces

2006 ◽  
Vol 35 (1) ◽  
pp. 221-230
Author(s):  
Yi Ming Zou
Keyword(s):  
Homogeneous Spaces ◽  
Quantum Homogeneous Spaces

scholarly journals Quantum homogeneous spaces and quasi-Hopf algebras

2000 ◽  
pp. 105-121 ◽  
Author(s):  
Benjamin Enriquez ◽  
Yvette Kosmann-Schwarzbach
Keyword(s):  
Hopf Algebras ◽  
Homogeneous Spaces ◽  
Quantum Homogeneous Spaces
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