2,352 reputation
1020
bio website tau.ac.il/~borovoi
location Tel Aviv, Israel
age
visits member for 4 years, 5 months
seen yesterday

I am a professor at Tel Aviv University, interested in linear algebraic groups, homogeneous spaces, number theory and nonabelian cohomology.


Jul
4
awarded  Inquisitive
Jul
3
comment What is classified by $H^1(\mathbb{R},SO(p,q))$ and by $H^1(\mathbb{R},SU(p,q))$?
@user52824: Thank you! As I expected, my questions reduce to linear algebra. Now what is the induced quadratic (resp., Hermitian) form on $\det(V)$? Could you please either explain or give references? I would be grateful if you could write an answer based on your comment. I will accept it immediately.
Jul
3
revised What is classified by $H^1(\mathbb{R},SO(p,q))$ and by $H^1(\mathbb{R},SU(p,q))$?
edited title
Jul
3
asked What is classified by $H^1(\mathbb{R},SO(p,q))$ and by $H^1(\mathbb{R},SU(p,q))$?
Jul
2
awarded  Curious
May
25
answered Real Lie groups versus real linear algebraic groups: differences in connexity and fundamental group
Apr
22
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?
Apr
22
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