2,264 reputation
11024
bio website ime.usp.br/~gorodski
location Sao Paulo, Brazil
age 49
visits member for 3 years, 7 months
seen 19 hours ago
I am a Professor at the University of São Paulo. I have mostly worked on the interaction between Lie groups and geometry, more specifically, Lie transformation groups and submanifold geometry, but I am generally interested in different kinds of problems that can be considered from a geometrical viewpoint.

Oct
23
awarded  Necromancer
Jul
20
comment Calculation with weights of $E_6$
@Jim: Thanks for your comment. I was sloppy: it was to mean $\Gamma$ is a subquotient of $W$. Anyway, I was wrong about the given motivation. Howe and Umeda's paper "The Capelli identity, the double commutant theorem, and multiplicity-free actions" discusses this representation.
Jul
20
revised Calculation with weights of $E_6$
Updated information.
Jul
17
comment Is the Duflo polynomial conjecture open?
I guess the main reference is: Journal of Functional Analysis, Volume 117, Issue 1, October 1993, Pages 174–214, Invariant Differential Operators in Symmetrical Spaces. II. Generalized Harish-Chandra Homomorphism, by C. Torossian.
Jul
12
revised Calculation with weights of $E_6$
Added possible answer.
Jul
11
revised Calculation with weights of $E_6$
Clarified notation.
Jul
11
comment Calculation with weights of $E_6$
@Jim: I meant the Coxeter group of type $A_2$.
Jul
11
comment Calculation with weights of $E_6$
@Vit: No, it is not.
Jul
11
asked Calculation with weights of $E_6$
Jul
2
awarded  Curious
Jun
24
comment Is the group of isometries of a homogeneous Riemannian manifold maximal?
Of course. The odd-dimensional sphere $S^{2n+1}$ with the round metric is $O(2n+2)/O(2n+1)$. The subgroup $U(n+1)$ of $O(2n+2)$ acts transitively, and there are $U(n+1)$-invariant metrics which are not round.
Jun
23
comment Compact Lie groups with only 3 dimensional cohomology generators
$SO(3)$ is not simply-connected by doubly covered by $S^3$. I think the answer to 1. is only products of $S^3$'s. See "Foundations of Lie Theory and Lie Transformation Groups", edited by V.V. Gorbatsevich, A.L. Onishchik, E.B. Vinberg, p. 127, or Bourbaki.
Jun
18
reviewed Edit Question about extending a solution to Monge-Ampere solution
Jun
18
revised Question about extending a solution to Monge-Ampere solution
changed a few notations
Jun
11
awarded  Citizen Patrol
Jun
3
comment Riemann's quote cited by Lakatos: what is the context?
Thanks Ben. This is exactly what Miguel had sent to me, as mentioned in the comments above.
Jun
3
accepted Riemann's quote cited by Lakatos: what is the context?
Jun
3
awarded  Nice Question
May
29
revised Action of a Lie group with finitely many orbits
Fixed notation.
May
29
answered Action of a Lie group with finitely many orbits