AN ALGEBRAIC INTERPRETATION OF THE q-BINOMIAL COEFFICIENTS

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

International Electronic Journal of Algebra
Volume:6 Issue:6
AN ALGEBRAIC INTERPRETATION OF THE q-BINOMIAL COEFFICIENTS

AN ALGEBRAIC INTERPRETATION OF THE q-BINOMIAL COEFFICIENTS

Authors : Michael BRAUN

Pages : 23-30

View : 16 | Download : 11

Publication Date : 2009-12-01

Article Type : Research Paper

Abstract :Gaussian numbers, also called Gaussian polynomials or q-binomial coefficients are the q-analogs of common binomial coefficients. First introduced by Euler these polynomials have played an important role in many different branches of mathematics. Sylvester discovered the unimodality of their coefficients, using invariant theory. Gauss recognized the connection of the coefficients to proper integer partitions using a combinatorial interpretation. Here in this paper we are going to point out a new algebraic interpretation of the Gaussian polynomials as orbits of the Borel group on subspaces.
Keywords : q binomial coefficient, Gauss number, Gauss polynomial, group action, Borel group

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.