Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Souček Vladimír"'
Autor:
Slovák, Jan, Souček, Vladimír
The famous Erlangen Programme was coined by Felix Klein in 1872 as an algebraic approach allowing to incorporate fixed symmetry groups as the core ingredient for geometric analysis, seeing the chosen symmetries as intrinsic invariance of all objects
Externí odkaz:
http://arxiv.org/abs/2409.01844
Autor:
Krump, Lukáš, Souček, Vladimír
The Penrose transform was used to construct a complex starting with the Dirac operator in $k$ Clifford variables in dimension $2n$ in the stable range $n\geq k.$ In the paper, we consider the same Penrose transform in the special case of dimension $4
Externí odkaz:
http://arxiv.org/abs/2401.06554
Main topic of the paper is a study of properties of massless fields of spin 3/2 in its Euclidean version. A lot of information is available already for massless fields in dimension 4. Here, we concentrate on dimension 6 and we are using the fact that
Externí odkaz:
http://arxiv.org/abs/2311.09728
In the 1980s, Enright, Howe and Wallach [EHW] and independently Jakobsen [J] gave a complete classification of the unitary highest weight modules. In this paper we give a more direct and elementary proof of the same result for the (universal covers o
Externí odkaz:
http://arxiv.org/abs/2305.15892
Let $G$ be a connected simply connected noncompact exceptional simple Lie group of Hermitian type. In this paper, we work with the Dirac inequality which is a very useful tool for the classification of unitary highest weight modules.
Comment: 26
Comment: 26
Externí odkaz:
http://arxiv.org/abs/2209.15331
Autor:
Souček, Vladimír, 1946-
As is the case for the theory of holomorphic functions in the complex plane, the Cauchy Integral Formula has proven to be a corner stone of Clifford analysis, the monogenic function theory in higher dimensional euclidean space. In recent years, sever
Externí odkaz:
http://arxiv.org/abs/1911.10233
We present the linearized metrizability problem in the context of parabolic geometries and subriemannian geometry, generalizing the metrizability problem in projective geometry studied by R. Liouville in 1889. We give a general method for linearizabi
Externí odkaz:
http://arxiv.org/abs/1803.10482