Journal article

Hall algebras and the Quantum Frobenius

Abstract:: Lusztig has constructed a Frobenius morphism for quantum groups at an $\ell$-th root of unity, which gives an integral lift of the Frobenius map on universal enveloping algebras in positive characteristic. Using the Hall algebra we give a simple construction of this map for the positive part of the quantum group attached to an arbitrary Cartan datum in the nondivisible case.

Publication status:: Published

Actions

Email

Email this record

Send the bibliographic details of this record to your email address.

Your Email
Please enter the email address that the record information will be sent to.

-
Your message (optional)
Please add any additional information to be included within the email.
Cite

Cite this record

APA Style

McGerty, K. (2006). Hall algebras and the Quantum Frobenius. DUKE MATHEMATICAL JOURNAL, 154(1), 181–206.

MLA Style

McGerty, K. “Hall Algebras and the Quantum Frobenius.” DUKE MATHEMATICAL JOURNAL, vol. 154, no. 1, 2006, pp. 181–206.

Chicago Style

McGerty, K. 2006. “Hall Algebras and the Quantum Frobenius.” DUKE MATHEMATICAL JOURNAL 154 (1): 181–206.
Share
Print

Access Document

Publisher copy:: 10.1215/00127094-2010-036

Authors

+ McGerty, K More by this author

Role:: Author

Journal:: DUKE MATHEMATICAL JOURNAL More from this journal
Volume:: 154
Issue:: 1
Pages:: 181-206
Publication date:: 2006-01-09
DOI:: 10.1215/00127094-2010-036
ISSN:: 0012-7094

Language:: English
Keywords:: 17B37

math.QA

math.RT
Pubs id:: pubs:194796
UUID:: uuid:84aaba8c-de2e-4b6b-b819-a012eee07b24
Local pid:: pubs:194796
Source identifiers:: 194796
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2006
Notes:: Final version: typos corrected and exposition improved

Licence:: Terms and Conditions of Use for Oxford University Research Archive

Views and Downloads

About views and downloads

If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP