[图书][B] Complex semisimple quantum groups and representation theory
C Voigt, R Yuncken - 2020 - Springer
The theory of quantum groups, originating from the study of integrable systems, has seen a
rapid development from the mid 1980s with far-reaching connections to various branches of …
rapid development from the mid 1980s with far-reaching connections to various branches of …
General double quantum groups
We introduce the concept of a twisted tensor biproduct, generalizing the general product
given in Caenepeel et al.. We give necessary and sufficient conditions for the new object to …
given in Caenepeel et al.. We give necessary and sufficient conditions for the new object to …
Complex semisimple quantum groups and representation theory
C Voigt, R Yuncken - arXiv preprint arXiv:1705.05661, 2017 - arxiv.org
These notes contain an introduction to the theory of complex semisimple quantum groups.
Our main aim is to discuss the classification of irreducible Harish-Chandra modules for these …
Our main aim is to discuss the classification of irreducible Harish-Chandra modules for these …
Quantum groups and quantum field theory: I. The free scalar field
C Brouder, R Oeckl - arXiv preprint hep-th/0208118, 2002 - arxiv.org
The quantum field algebra of real scalar fields is shown to be an example of infinite
dimensional quantum group. The underlying Hopf algebra is the symmetric algebra S (V) …
dimensional quantum group. The underlying Hopf algebra is the symmetric algebra S (V) …
On braided Hopf algebra structures over the twisted smash products
S Wang - Communications in Algebra, 1999 - Taylor & Francis
On braided hopf algebra structures over the twisted smash products<xref ref-type='fn' rid='FN0001'>
<su Page 1 COMMUNICATIONS IN ALGEBRA, 27(11), 5561-5573 (1999) On Braided Hopf …
<su Page 1 COMMUNICATIONS IN ALGEBRA, 27(11), 5561-5573 (1999) On Braided Hopf …
Nonstandard quantum groups associated to Belavin-Drinfeld triples
TJ Hodges - arXiv preprint q-alg/9609029, 1996 - arxiv.org
A construction is given of a family of non-standard quantizations of the algebra of functions
on a connected complex semi-simple algebraic group. For each``disjoint''triple in the sense …
on a connected complex semi-simple algebraic group. For each``disjoint''triple in the sense …
FRT-duals as quantum enveloping algebras
U Krähmer - Journal of Algebra, 2003 - Elsevier
The Hopf algebra generated by the l-functionals on the quantum double C q [G]⋈ C q [G] is
considered, where C q [G] is the coordinate algebra of a standard quantum group and q is …
considered, where C q [G] is the coordinate algebra of a standard quantum group and q is …
Braided homology of quantum groups
T Hadfield, U Krähmer - Journal of K-Theory, 2009 - cambridge.org
Braided homology of quantum groups Page 1 J. K-Theory 4 (2009), 299–332 doi:10.1017/is008008021jkt063
©2009 ISOPP Braided homology of quantum groups by TOM HADFIELD AND ULRICH …
©2009 ISOPP Braided homology of quantum groups by TOM HADFIELD AND ULRICH …
Introduction to Belavin-Drinfeld Quantum Groups
TJ Hodges - Recent Advances in Noncommutative Algebra and …, 2024 - books.google.com
In this article we discuss the Belavin-Drinfeld quantum groups, one of the most fascinating
and elusive classes of non-standard quantum groups. Belavin and Drinfeld classified all non …
and elusive classes of non-standard quantum groups. Belavin and Drinfeld classified all non …
Twisting 2-cocycles for the construction of new non-standard quantum groups
AD Jacobs, JF Cornwell - Journal of Mathematical Physics, 1997 - pubs.aip.org
We introduce a new class of 2-cocycles defined explicitly on the generators of certain
multiparameter standard quantum groups. These allow us, through the process of twisting …
multiparameter standard quantum groups. These allow us, through the process of twisting …