Question

Different almost complex structures: $\mathbb C$-isomorphism for $(W,K)$ and $(W,H)$

score 112 · Answer 1 · 2020-01-22 11:01:32

112

Views

Different almost complex structures: $\mathbb C$-isomorphism for $(W,K)$ and $(W,H)$

Published on 22 Jan 2020 - 11:01

score 481 · Answer 2 · 2020-01-24 05:35:53

481

Views

Complexification of a map under nonstandard complexifications of vector spaces

Published on 24 Jan 2020 - 5:35

score 787 · Answer 3 · 2020-01-24 09:40:23

787

Views

$f$ is the complexification of a map if $f$ commutes with almost complex structure and standard conjugation. What if we had anti-commutation instead?

Published on 24 Jan 2020 - 9:40

score 239 · Answer 4 · 2020-01-24 10:31:40

239

Views

$f$ is the complexification of a map if $f$ commutes with structure $J$ and conjugation $\chi$. What is the relationship between $J$ and $\chi$?

Published on 24 Jan 2020 - 10:31

score 217 · Answer 5 · 2020-01-25 10:51:48

217

Views

In what way is $(L_{\mathbb R})^{\mathbb C}$ more like $L \bigoplus \overline L$ than like $L \bigoplus L = L^2$?

Published on 25 Jan 2020 - 10:51

score 407 · Answer 6 · 2020-01-27 05:44:00

407

Views

Complexification of realification: Unnecessary computation of eigenvalues?

Published on 27 Jan 2020 - 5:44

score 540 · Answer 7 · 2020-01-27 10:21:56

540

Views

Eigenvalues and eigenspaces of almost complex structures under each other

Published on 27 Jan 2020 - 10:21

score 129 · Answer 8 · 2020-01-27 11:05:47

129

Views

Questions on the complexification of a map

Published on 27 Jan 2020 - 11:05

score 276 · Answer 9 · 2020-02-01 03:15:54

276

Views

Are anti-linear/semi-linear maps, such as conjugations, linear in other almost complex structures?

Published on 01 Feb 2020 - 3:15

score 118 · Answer 10 · 2020-02-01 04:04:39

118

Views

Restriction of complexification is almost complex but not conversely?

Published on 01 Feb 2020 - 4:04

score 207 · Answer 11 · 2020-02-01 09:16:42

207

Views

Existence of subspaces such that almost complex structures restrict to almost complex structures

Published on 01 Feb 2020 - 9:16

score 933 · Answer 12 · 2020-02-03 03:50:24

933

Views

What exactly is the relationship between the concepts of conjugate complex vector space and conjugations/real structures?

Published on 03 Feb 2020 - 3:50

score 205 · Answer 13 · 2020-02-07 12:24:55

205

Views

Bijection for involutive maps and $\mathbb R$-subspaces given almost complex structure (anti-involutive)? Formula for conjugation?

Published on 07 Feb 2020 - 12:24

score 190 · Answer 14 · 2020-02-13 06:17:38

190

Views

Formula for anti-involutive (almost complex structures) and involutive maps on any $V^2$ in terms of linear maps on $V$ based on $\mathbb R^2$

Published on 13 Feb 2020 - 6:17

score 76 · Answer 15 · 2020-02-24 10:41:40

76

Views

If subspace $A$ is the fixed points of an involution $\sigma$, then is $K(A)$ the fixed points of $-\sigma$?

Published on 24 Feb 2020 - 10:41

List Question

Different almost complex structures: $\mathbb C$-isomorphism for $(W,K)$ and $(W,H)$

Complexification of a map under nonstandard complexifications of vector spaces

$f$ is the complexification of a map if $f$ commutes with almost complex structure and standard conjugation. What if we had anti-commutation instead?

$f$ is the complexification of a map if $f$ commutes with structure $J$ and conjugation $\chi$. What is the relationship between $J$ and $\chi$?

In what way is $(L_{\mathbb R})^{\mathbb C}$ more like $L \bigoplus \overline L$ than like $L \bigoplus L = L^2$?

Complexification of realification: Unnecessary computation of eigenvalues?

Eigenvalues and eigenspaces of almost complex structures under each other

Questions on the complexification of a map

Are anti-linear/semi-linear maps, such as conjugations, linear in other almost complex structures?

Restriction of complexification is almost complex but not conversely?

Existence of subspaces such that almost complex structures restrict to almost complex structures

What exactly is the relationship between the concepts of conjugate complex vector space and conjugations/real structures?

Bijection for involutive maps and $\mathbb R$-subspaces given almost complex structure (anti-involutive)? Formula for conjugation?

Formula for anti-involutive (almost complex structures) and involutive maps on any $V^2$ in terms of linear maps on $V$ based on $\mathbb R^2$

If subspace $A$ is the fixed points of an involution $\sigma$, then is $K(A)$ the fixed points of $-\sigma$?

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