Zobrazeno 1 - 10
of 365
pro vyhledávání: '"De Graaf, W."'
Publikováno v:
Journal of Symbolic Computation, 68 (2015) 138-145
We develop a practical algorithm to decide whether a finitely generated subgroup of a solvable algebraic group $G$ is arithmetic. This incorporates a procedure to compute a generating set of an arithmetic subgroup of $G$. We also provide a simple new
Externí odkaz:
http://arxiv.org/abs/1905.04287
Akademický článek
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We develop an algorithm for computing the closure of a given nilpotent $G_0$-orbit in $\g_1$, where $\g_1$ and $G_0$ are coming from a $\Z$ or a $\Z/m\Z$-grading $\g= \bigoplus \g_i$ of a simple complex Lie algebra $\g$.
Externí odkaz:
http://arxiv.org/abs/1107.1864
Autor:
Fortunato, L., de Graaf, W. A.
The Levi-Malcev decomposition is applied to bosonic models of quantum mechanics based on unitary Lie algebras u(2), u(2)+u(2), u(3) and u(4) to clearly disentangle semisimple subalgebras. The theory of weighted Dynkin diagrams is then applied to iden
Externí odkaz:
http://arxiv.org/abs/1102.4698
Autor:
de Graaf, W. A., Elashvili, A. G.
Publikováno v:
Georgian Mathematical Journal, 16:257--278 (2009)
We describe algorithms for computing the induced nilpotent orbits in semisimple Lie algebras. We use them to obtain the induction tables for the Lie algebras of exceptional type. This also yields the classification of the rigid nilpotent orbits in th
Externí odkaz:
http://arxiv.org/abs/0905.2743
Autor:
de Graaf, W. A.
First we describe the Skjelbred-Sund method for classifying nilpotent Lie algebras. Then we use it to classify 6-dimensional nilpotent Lie algebras over any field of characteristic not 2. The proof of this classification is essentially constructive:
Externí odkaz:
http://arxiv.org/abs/math/0511668
Autor:
de Graaf, W. A.
We illustrate some simple ideas that can be used for obtaining a classification of small-dimensional solvable Lie algebras.Using these we obtain the classification of 3 and 4 dimensional solvable Lie algebras (over fields of any characteristic). Prec
Externí odkaz:
http://arxiv.org/abs/math/0404071
Autor:
de Graaf, W. A.
A practical method for constructing a nontrivial homomorphsim between Verma modules is described.
Comment: 15 pages, added references, some comments on the affine case, an application concerning the construction of irreducible modules
Comment: 15 pages, added references, some comments on the affine case, an application concerning the construction of irreducible modules
Externí odkaz:
http://arxiv.org/abs/math/0212153
Autor:
de Graaf, W. A.
An algorithm is described to compute the canonical basis of an irreducible module over a quantized enveloping algebra of a finite-dimensional semisimple Lie algebra. The algorithm works for modules that are constructed as a submodule of a tensor prod
Externí odkaz:
http://arxiv.org/abs/math/0211087
We have investigated experimentally the electronic transport properties of a two-dimensional electron gas (2DEG) present in an AlSb/InAs/AlSb quantum well, where part of the toplayer has been replaced by a superconducting Nb strip, with an energy gap
Externí odkaz:
http://arxiv.org/abs/cond-mat/9502038