Casimir operator of $SO(n,1)$
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Is there any book or paper where the Casimir operator (the generator of the center of the universal enveloping algebra $mathcal U(mathfrak{so}(n,1))$) on $SO(n,1)$ is given? I would really appreciate any comments.
lie-groups lie-algebras
asked Nov 16 at 11:15
Luke Mathwalker
352112
add a comment |
up vote
2
down vote
favorite
Is there any book or paper where the Casimir operator (the generator of the center of the universal enveloping algebra $mathcal U(mathfrak{so}(n,1))$) on $SO(n,1)$ is given? I would really appreciate any comments.
lie-groups lie-algebras
asked Nov 16 at 11:15
Luke Mathwalker
352112
4
Is Darth Vector your father by any chance? Do you also know Hans Sylow?
– Batominovski
Nov 16 at 11:24
2
Of course! Do you know my father? He is obsessed with proving the Riemann hypothesis; the math was always strong with him. Hans Sylow is a good friend of mine.
– Luke Mathwalker
Nov 16 at 12:10
I assume you mean the quadratic Casimir, no? I mean, as you go up in rank, you get an increasing number of Casimirs. Have you paid due diligence with any of R Gilmore's overexplicit books? In any case, start by embedding the Casimir of the SO(n) subalgebra in it.
– Cosmas Zachos
Nov 18 at 20:46
add a comment |
up vote
2
down vote
favorite
up vote
2
down vote
favorite
Is there any book or paper where the Casimir operator (the generator of the center of the universal enveloping algebra $mathcal U(mathfrak{so}(n,1))$) on $SO(n,1)$ is given? I would really appreciate any comments.
lie-groups lie-algebras
asked Nov 16 at 11:15
Luke Mathwalker
352112
Is there any book or paper where the Casimir operator (the generator of the center of the universal enveloping algebra $mathcal U(mathfrak{so}(n,1))$) on $SO(n,1)$ is given? I would really appreciate any comments.
lie-groups lie-algebras
lie-groups lie-algebras
asked Nov 16 at 11:15
Luke Mathwalker
352112
asked Nov 16 at 11:15
Luke Mathwalker
352112
asked Nov 16 at 11:15
Luke Mathwalker
352112
asked Nov 16 at 11:15
Luke Mathwalker
352112
asked Nov 16 at 11:15
Luke Mathwalker
352112
352112
4
Is Darth Vector your father by any chance? Do you also know Hans Sylow?
– Batominovski
Nov 16 at 11:24
2
Of course! Do you know my father? He is obsessed with proving the Riemann hypothesis; the math was always strong with him. Hans Sylow is a good friend of mine.
– Luke Mathwalker
Nov 16 at 12:10
I assume you mean the quadratic Casimir, no? I mean, as you go up in rank, you get an increasing number of Casimirs. Have you paid due diligence with any of R Gilmore's overexplicit books? In any case, start by embedding the Casimir of the SO(n) subalgebra in it.
– Cosmas Zachos
Nov 18 at 20:46
add a comment |
4
Is Darth Vector your father by any chance? Do you also know Hans Sylow?
– Batominovski
Nov 16 at 11:24
2
Of course! Do you know my father? He is obsessed with proving the Riemann hypothesis; the math was always strong with him. Hans Sylow is a good friend of mine.
– Luke Mathwalker
Nov 16 at 12:10
I assume you mean the quadratic Casimir, no? I mean, as you go up in rank, you get an increasing number of Casimirs. Have you paid due diligence with any of R Gilmore's overexplicit books? In any case, start by embedding the Casimir of the SO(n) subalgebra in it.
– Cosmas Zachos
Nov 18 at 20:46
4
4
Is Darth Vector your father by any chance? Do you also know Hans Sylow?
– Batominovski
Nov 16 at 11:24
Is Darth Vector your father by any chance? Do you also know Hans Sylow?
– Batominovski
Nov 16 at 11:24
2
2
Of course! Do you know my father? He is obsessed with proving the Riemann hypothesis; the math was always strong with him. Hans Sylow is a good friend of mine.
– Luke Mathwalker
Nov 16 at 12:10
Of course! Do you know my father? He is obsessed with proving the Riemann hypothesis; the math was always strong with him. Hans Sylow is a good friend of mine.
– Luke Mathwalker
Nov 16 at 12:10
I assume you mean the quadratic Casimir, no? I mean, as you go up in rank, you get an increasing number of Casimirs. Have you paid due diligence with any of R Gilmore's overexplicit books? In any case, start by embedding the Casimir of the SO(n) subalgebra in it.
– Cosmas Zachos
Nov 18 at 20:46
I assume you mean the quadratic Casimir, no? I mean, as you go up in rank, you get an increasing number of Casimirs. Have you paid due diligence with any of R Gilmore's overexplicit books? In any case, start by embedding the Casimir of the SO(n) subalgebra in it.
– Cosmas Zachos
Nov 18 at 20:46
add a comment |
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4
Is Darth Vector your father by any chance? Do you also know Hans Sylow?
– Batominovski
Nov 16 at 11:24
2
Of course! Do you know my father? He is obsessed with proving the Riemann hypothesis; the math was always strong with him. Hans Sylow is a good friend of mine.
– Luke Mathwalker
Nov 16 at 12:10
I assume you mean the quadratic Casimir, no? I mean, as you go up in rank, you get an increasing number of Casimirs. Have you paid due diligence with any of R Gilmore's overexplicit books? In any case, start by embedding the Casimir of the SO(n) subalgebra in it.
– Cosmas Zachos
Nov 18 at 20:46