bio  website  math.berkeley.edu/~mbtucker 

location  Berkeley  
age  33  
visits  member for  5 years 
seen  3 hours ago  
stats  profile views  2,772 
I like quantum groups, representation theory, noncommutative algebra, and homological algebra, mainly in the context of noncommutative geometry.
1d

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 
Sep 30 
awarded  Caucus 
Sep 28 
revised 
A matrix algebra has no deformations?
Fixed small mistake since question came back to front page anyway. 
Sep 10 
awarded  Nice Answer 
Aug 23 
comment 
Versions of the spectral theorem
Convergence in the weak topology does not imply convergence in norm. 
Aug 7 
comment 
What is a complex inner product space “really”?
I think it's important to note what translating the concept of "normal operator" to the complex setting yields. The point is that any operator can be decomposed into real and imaginary parts, which are selfadjoint and hence diagonalizable. It's easy to check that an operator is normal if and only if its real and imaginary parts commute, so that they are simultaneously diagonalizable. 