Zobrazeno 1 - 10
of 414
pro vyhledávání: '"Carmeli C"'
We give conditions for unitarizability of Harish-Chandra super modules for Lie supergroups and superalgebras.
Externí odkaz:
http://arxiv.org/abs/2103.16131
In this paper we give a brief account of the main aspects of the theory of associated and principal super bundles. As an application, we review the Borel-Weil-Bott Theorem in the super setting, and some results on projective embeddings of homogeneous
Externí odkaz:
http://arxiv.org/abs/1801.07181
In this paper we discuss the highest weight $\frak k_r$-finite representations of the pair $(\frak g_r,\frak k_r)$ consisting of $\frak g_r$, a real form of a complex basic Lie superalgebra of classical type $\frak g$ (${\frak g}\neq A(n,n)$), and th
Externí odkaz:
http://arxiv.org/abs/1511.01420
We study a generalization of the results \in \cite{cfk} to the case of $SU(1|1)$ interpreted as the supercircle $S^{1|2}$. We describe all of its finite dimensional complex irreducible representations, we give a reducibility result for representation
Externí odkaz:
http://arxiv.org/abs/1509.07656
In this series of papers we want to discuss the highest weight ${\frak k}_r$-finite representations of the pair $({\frak g}_r,{\frak k}_r)$ consisting of ${\frak g}_r$, a real form of a complex basic Lie superalgebra of classical type ${\frak g}$ (${
Externí odkaz:
http://arxiv.org/abs/1503.03828
The real compact supergroup $S^{1|1}$ is analized from different perspectives and its representation theory is studied. We prove it is the only (up to isomorphism) supergroup, which is a real form of $({\mathbf C}^{1|1})^\times$ with reduced Lie grou
Externí odkaz:
http://arxiv.org/abs/1407.2706
Autor:
Carmeli, C., Fioresi, R.
The purpose of this paper is to extend the theory of Super Harish-Chandra pairs, originally developed by Koszul for Lie supergroups, to analytic and algebraic supergroups, in order to obtain information also about their representations. We also defin
Externí odkaz:
http://arxiv.org/abs/1106.1072
We study the local functor of points (which we call the Weil-Berezin functor) for smooth supermanifolds, providing a characterization, representability theorems and applications to differential calculus.
Externí odkaz:
http://arxiv.org/abs/0908.1872
We present a chemical route to covalently couple the photosystem I (PS I) to carbon nanotubes (CNTs). Small linker molecules are used to connect the PS I to the CNTs. Hybrid systems, consisting of CNTs and the PS I, promise new photo-induced transpor
Externí odkaz:
http://arxiv.org/abs/0902.4359
We study the functor of points and the local functor of points (here called the Weil--Berezin functor) for smooth and holomorphic supermanifolds, providing characterization theorems and fully discussing the representability issues. In the end we exam
Externí odkaz:
http://arxiv.org/abs/0902.1824