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Jul
18
comment Tangent vectors on the algebra of trigonometric polynomials
Ah, OK! Thank you anyway!
Jul
18
comment Tangent vectors on the algebra of trigonometric polynomials
Aakumadula, could you give a reference, please?
Jul
18
comment Tangent vectors on the algebra of trigonometric polynomials
Peter, I am not sure I understood. Are you saying that the problem appears only for non-compact $G$, or for all $G$?
Jul
18
revised Tangent vectors on the algebra of trigonometric polynomials
added 32 characters in body
Jul
18
comment Tangent vectors on the algebra of trigonometric polynomials
Mariano, I have made the corrections, now ${\sf Trig}(G)$ is defined.
Jul
18
revised Tangent vectors on the algebra of trigonometric polynomials
added 335 characters in body
Jul
18
asked Tangent vectors on the algebra of trigonometric polynomials
Jul
9
comment A textbook on linear algebra where involutions on linear spaces are considered
Mariano, maybe you are right. Perhaps, it will be reasonable to do what you suggest...
Jul
9
comment A textbook on linear algebra where involutions on linear spaces are considered
Excuse me, the numbers I, 14.1 in the reference to Borel, what do they mean? I can't find...
Jul
9
accepted Ideals in a subalgebra in $C^\infty(M)$
Jul
8
comment Ideals in a subalgebra in $C^\infty(M)$
ah... again the question is open...
Jul
8
comment Ideals in a subalgebra in $C^\infty(M)$
A mistake? What was wrong? I don't see a mistake...
Jul
8
comment Ideals in a subalgebra in $C^\infty(M)$
Yes, thank you!
Jul
8
comment Ideals in a subalgebra in $C^\infty(M)$
Excuse me, what is teo function?
Jul
8
asked Ideals in a subalgebra in $C^\infty(M)$
Jul
7
comment A textbook on linear algebra where involutions on linear spaces are considered
This will be my handbook. Like Bible. :)
Jul
7
comment A textbook on linear algebra where involutions on linear spaces are considered
It is easy to prove of course, but it is not good to write this proof in a paper, or to use this result without reference. Ben, I don't like the formulation of this fact that Fulton and Harris give at p.444. This is not for normal mathematician, you must have some background in representation theory to recognize what I need in what they say. I believe there are texts with simpler formulations. And, by the way, I need also the constructions of real and imaginary parts, and their properties. Of course this is trivial, but I'd like to have a book on my table.
Jul
7
comment A textbook on linear algebra where involutions on linear spaces are considered
"a complex vector space is the complexification of a real vector space just when it bears a conjugate linear involution operator" -- I need this and the construction of involution on the dual space. But I think it's not nice to write this without reference. Or you mean that this is stated in the Fulton-Harris book?
Jul
7
comment A textbook on linear algebra where involutions on linear spaces are considered
No doubts, but which book to cite?
Jul
7
comment A textbook on linear algebra where involutions on linear spaces are considered
I think this is not what I need. They introduce the operation of taking complex conjugate vector, but only in the case when $X$ is a complexification of a given real vector space $Y$, not for an arbitrary complex vector space $X$... Or I missed something?