Unipotent Radicals of the Standard Borel and Parabolic Subgroups in Quantum Special Linear Groups
- Degree Grantor:
- University of California, Santa Barbara. Mathematics
- Degree Supervisor:
- Kenneth Goodearl
- Place of Publication:
- [Santa Barbara, Calif.]
- Publisher:
- University of California, Santa Barbara
- Creation Date:
- 2014
- Issued Date:
- 2014
- Topics:
- Mathematics
- Keywords:
- Quantum Gruops,
Noncommutative Rings, and
Quantum Algebras - Genres:
- Online resources and Dissertations, Academic
- Dissertation:
- Ph.D.--University of California, Santa Barbara, 2014
- Description:
In this dissertation we find noncommutative analogues of the coordinate rings of the unipotent radicals of the standard Borel and standard parabolic subgroups in quantum special linear groups. In each case, two subalgebras are defined, both of which can be considered quantizations of the unipotent radical of a standard Borel or a standard parabolic subgroup. Presentations are given for these algebras. It is also shown that these algebras arise as a coinvariant subalgebra of a natural comodule algebra action induced from the Hopf algebra structure on quantum special linear groups.
- Physical Description:
- 1 online resource (174 pages)
- Format:
- Text
- Collection(s):
- UCSB electronic theses and dissertations
- Other Versions:
- http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3637422
- ARK:
- ark:/48907/f32f7kjr
- ISBN:
- 9781321202052
- Catalog System Number:
- 990045115910203776
- Copyright:
- Andrew Jaramillo, 2014
- Rights:
In Copyright
- Copyright Holder:
- Andrew Jaramillo
File | Description |
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Access: Public access | |
Jaramillo_ucsb_0035D_12163.pdf | pdf (Portable Document Format) |