bio  website  tau.ac.il/~borovoi 

location  Tel Aviv, Israel  
age  
visits  member for  4 years, 2 months 
seen  yesterday  
stats  profile views  1,796 
I am a professor at Tel Aviv University, interested in linear algebraic groups, homogeneous spaces, number theory and nonabelian cohomology.
2d

comment 
$SL(n) \times SL(n)$invariants of $m$tuples of matrices
The determinants of your matrices $M_1$, ... $M_m$ are polynomial invariants in the $SL$ case, and a natural guess would be that the algebra of polynomial invariants is generated by these determinants. Is this correct? 
2d

comment 
$SL(n) \times SL(n)$invariants of $m$tuples of matrices
I think you can find the answer to your question in the book "The Classical Groups: Their Invariants and Representations" by Hermann Weyl (I don't have this book on my table). 
Apr 19 
comment 
$SL(n) \times SL(n)$invariants of $m$tuples of matrices
What precisely is the (trivial) answer in the $GL$ case? 
Mar 18 
awarded  Good Answer 
Feb 25 
awarded  Necromancer 
Feb 25 
revised 
Projective arrows
added 179 characters in body 
Feb 22 
revised 
Projective arrows
A proposition and a corollary were added. 
Feb 22 
revised 
Projective arrows
added 106 characters in body 
Feb 22 
answered  Projective arrows 
Feb 21 
awarded  Yearling 
Nov 25 
awarded  Nice Question 
Oct 28 
awarded  Popular Question 
Oct 9 
awarded  Caucus 
Aug 24 
accepted  A subgroup of the Weyl group 
Aug 23 
comment 
A subgroup of the Weyl group
@Jim Humphreys: Sure! Carter's Proposition 13.1.2 gives the affirmative answer to my question. 
Aug 23 
comment 
A subgroup of the Weyl group
@Jim Humphreys: Thank you, it was very helpful. I am interested in twisting compact groups over $\mathbb{R}$, rather than split groups over finite fields. 
Aug 23 
asked  A subgroup of the Weyl group 
Jul 30 
awarded  Nice Question 
Jul 30 
comment 
Spin group as an automorphism group
Thank you, this is the answer I was looking for! 
Jul 30 
accepted  Spin group as an automorphism group 