Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Kaplan, Aroldo"'
Autor:
Kaplan, Aroldo, Subils, Mauro
Every real simple non-compact Lie algebra not isomorphic to $\mathfrak{so}(1,n)$ contains a unique standard parabolic subalgebra whose nilradical is a generalized Heisenberg algebra. Here we discuss the associated parabolic geometries and the riemann
Externí odkaz:
http://arxiv.org/abs/1708.08981
Autor:
Kaplan, Aroldo, Subils, Mauro
We show that every non-compact simple real Lie algebra not isomorphic to so(n,1) has a unique conjugacy class of parabolic subalgebras whose nilradical is of Heisenberg type, or non-singular, and give some applications.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1608.02663
Autor:
Kaplan, Aroldo, Tiraboschi, Alejandro
For a real, non-singular, 2-step nilpotent Lie algebra $\mathfrak{n}$, the group \Aut(\mathfrak{n})/\Aut_0(\mathfrak{n})$, where $\Aut_0(\mathfrak{n})$ is the group of automorphisms which act trivially on the center, is the direct product of a compac
Externí odkaz:
http://arxiv.org/abs/1111.5965
The infinite dimensional Clifford Algebra has a maze of irreducible unitary representations. Here we determine their type -real, complex or quaternionic. Some, related to the Fermi-Fock representations, have no real or quetrnionic structures. But the
Externí odkaz:
http://arxiv.org/abs/math/0301263
Autor:
Kaplan, Aroldo, Pearlstein, Gregory J.
We prove that a variation of graded-polarizable mixed Hodge structure over a punctured disk with unipotent monodromy, has a limiting mixed Hodge structure at the puncture (i.e., it is admissible in the sense of [SZ]) which splits over $\R$, if and on
Externí odkaz:
http://arxiv.org/abs/math/0007040
Let $f: X \rightarrow S$ be a family of non singular projective varieties parametrized by a complex algebraic variety $S$. Fix $s \in S$, an integer $p$, and a class $h \in {\rm H}^{2p}(X_s,\Z)$ of Hodge type $(p,p)$. We show that the locus, on $S$,
Externí odkaz:
http://arxiv.org/abs/alg-geom/9402009
Publikováno v:
Annals of Mathematics, 1986 May 01. 123(3), 457-535.
Externí odkaz:
https://www.jstor.org/stable/1971333
Autor:
Kaplan, Aroldo, Putz, Robert
Publikováno v:
Transactions of the American Mathematical Society, 1977 Aug 01. 231(2), 369-384.
Externí odkaz:
https://www.jstor.org/stable/1997909
Autor:
Kaplan, Aroldo
Publikováno v:
Transactions of the American Mathematical Society, 1980 Mar 01. 258(1), 147-153.
Externí odkaz:
https://www.jstor.org/stable/1998286
Publikováno v:
Journal of the American Mathematical Society, 1995 Apr 01. 8(2), 483-506.
Externí odkaz:
https://www.jstor.org/stable/2152824