2,244 reputation
1924
bio website ime.usp.br/~gorodski
location Sao Paulo, Brazil
age 48
visits member for 3 years, 4 months
seen 2 days 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.

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 suggested edit on 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
May
28
comment What is an element of an iterated tangent bundle?
Certain sections of the double tangent bundle $TTM$ are called sprays; check Wikipedia.