bio | website | math.berkeley.edu/~mbtucker |
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location | Berkeley | |
age | 34 | |
visits | member for | 5 years, 8 months |
seen | yesterday | |
stats | profile views | 2,919 |
I like quantum groups, representation theory, noncommutative algebra, and homological algebra, mainly in the context of noncommutative geometry.
Jun 14 |
awarded | Favorite Question |
Apr 22 |
awarded | Popular Question |
Apr 4 |
awarded | Notable Question |
Feb 17 |
awarded | Nice Question |
Oct 22 |
answered | Deformation quantization of a closed Riemann surface with genus >1 |
Oct 19 |
awarded | Yearling |
Sep 30 |
awarded | Explainer |
Sep 30 |
awarded | Popular Question |
Jul 29 |
awarded | Notable Question |
Jul 15 |
comment |
Norms on Clifford algebra (C^* norm)
Well, the map you mention is an isomorphism of $\ast$-algebras, and matrix algebras (and direct sums of matrix algebras) have a unique C$^\ast$-norm (the operator norm). Perhaps there is some way to interpret this norm intrinsically on the Clifford algebra; perhaps consider the operator norm of the Clifford algebra acting on itself by left multiplication. |
Jul 2 |
awarded | Curious |
May 30 |
awarded | Custodian |
Apr 6 |
comment |
How to recognize a Hopf algebra?
For the sake of those reading this question (including me!), could you specify the sense in which you mean "regular"? It's a pretty overloaded term... |
Feb 26 |
accepted | Software for noncommutative Groebner bases over rational function fields |
Feb 25 |
comment |
Software for noncommutative Groebner bases over rational function fields
I've seen that other question, but it didn't address the question of which base fields are allowed. |
Feb 25 |
comment |
Software for noncommutative Groebner bases over rational function fields
@NeilHoffman, that seems to be for commutative rings. I did find this: magma.maths.usyd.edu.au/magma/handbook/text/900#9876 which indicates that Magma can do Groebner basis calculations for noncommutative algebras, but it doesn't say much about what coefficient fields are possible. |
Feb 25 |
asked | Software for noncommutative Groebner bases over rational function fields |
Feb 25 |
comment |
Basis of a Finite Dimensional Algebra with a Finitely Generated Relation Set By Computer
@Leandro, do you know if there is a way to do this sort of thing in GAP when the algebra is defined over a field of rational functions? |
Nov 14 |
awarded | Necromancer |
Oct 19 |
awarded | Yearling |