1,395 reputation
1715
bio website mathnet.ru/php/…
location
age
visits member for 3 years, 9 months
seen 5 hours ago

May
22
revised Correspondence between real forms and real structures on complex Lie groups
edited body
May
22
comment Correspondence between real forms and real structures on complex Lie groups
@YCor: Pardon, I corrected the text in MSE (and here also).
May
22
revised Correspondence between real forms and real structures on complex Lie groups
added 538 characters in body
May
22
comment Correspondence between real forms and real structures on complex Lie groups
Does this give an answer in the case, when $K$ is a compact real Lie group and $G$ is its complexification?
May
22
revised Correspondence between real forms and real structures on complex Lie groups
edited title
May
22
revised Correspondence between real forms and real structures on complex Lie groups
edited title
May
22
asked Correspondence between real forms and real structures on complex Lie groups
May
4
comment Local coordinates on (infinite dimensional) Lie groups, factorization of Riemann zeta functions
Gérard, as far as I understand, the exponential map of $\text{Diff}({\mathbb T})$ is also not locally invertible. I think, you should accept Alexander Schmeding's answer, it sounds much more useful.
May
4
revised Local coordinates on (infinite dimensional) Lie groups, factorization of Riemann zeta functions
added 212 characters in body
May
4
comment Local coordinates on (infinite dimensional) Lie groups, factorization of Riemann zeta functions
@YCor, I thought this means that there is a neighbourhood $U$ of 1 in $G$, and a neighbourhood $V$ of 0 in $L(G)$ such that $\exp(V)=U$.
May
4
revised Local coordinates on (infinite dimensional) Lie groups, factorization of Riemann zeta functions
added 94 characters in body
May
4
revised Local coordinates on (infinite dimensional) Lie groups, factorization of Riemann zeta functions
deleted 2 characters in body
May
4
answered Local coordinates on (infinite dimensional) Lie groups, factorization of Riemann zeta functions
May
4
comment Local coordinates on (infinite dimensional) Lie groups, factorization of Riemann zeta functions
Gérard, the Lie algebra for ${\mathbb T}^{\mathfrak m}$ is ${\mathbb R}^{\mathfrak m}$, the ${\mathfrak m}$-th power of $\mathbb R$.
May
4
comment Local coordinates on (infinite dimensional) Lie groups, factorization of Riemann zeta functions
Gérard, some infinite dimensional locally compact groups have exponential maps that are surjective. For example, the infinite power ${\mathbb T}^{\mathfrak m}$ (where ${\mathfrak m}$ is any infinite cardinal) of the circle $\mathbb T$ has this property.
Apr
24
comment Local coordinates on (infinite dimensional) Lie groups, factorization of Riemann zeta functions
Will it be correct to reformulate your question as follows: when is the exponential map $\exp:L(G)\to G$ (locally) surjective?
Apr
22
revised Topologies for which $\mathcal{M}(X)\otimes \mathcal{M}(Y)$ is dense in $\mathcal{M}(X\times Y)$
deleted 1 character in body
Apr
22
revised Topologies for which $\mathcal{M}(X)\otimes \mathcal{M}(Y)$ is dense in $\mathcal{M}(X\times Y)$
deleted 4 characters in body
Apr
22
revised Topologies for which $\mathcal{M}(X)\otimes \mathcal{M}(Y)$ is dense in $\mathcal{M}(X\times Y)$
added 70 characters in body
Apr
22
revised Topologies for which $\mathcal{M}(X)\otimes \mathcal{M}(Y)$ is dense in $\mathcal{M}(X\times Y)$
added 4 characters in body