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bio website tau.ac.il/~borovoi
location Tel Aviv, Israel
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visits member for 4 years, 2 months
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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