bio | website | tau.ac.il/~borovoi |
---|---|---|
location | Tel Aviv, Israel | |
age | ||
visits | member for | 4 years, 5 months |
seen | yesterday | |
stats | profile views | 1,842 |
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 |