The theory of linear representations of projective planes developed by Bruck and one of the authors (Bose) in two earlier papers [J. Algebra 1 (1964), pp. 85–102 and 4 (1966), pp. 117–172 ] can be further extended by generalizing the concept of incidence adopted there. A linear ...
REPRESENTATION THEORY OF LIFTINGS OF QUANTUM PLANES We determine the regular representations, Gabriel quivers and representation type of all liftings of two-dimensional quantum linear spaces. L Krop,W Chin - 《Journal of Algebra & Its Applications》 被引量: 13发表: 2009年 加载更多来源...
If a line in 3D is parallel to two of the coordinate planes (that is, it is parallel to one of the coordinate axes), thenGetRepresentationreturns a sequence of two equations, like this:x=−1,z=2. – For a line in 2D, Maple typically returns an equation of the formx4−14=y5...
The consideration is based on the role played by isoclinic 2-planes in the geometry of the real Clifford algebraC(3,0)which provide an invariant geometric frame for it. It can be generalized to larger Clifford algebras. 展开 关键词: Algebras Dirac equation DOI: 10.1063/1.532912 被引量:...
PIPER.ProjectivePlanes. MarkovChains.2nded. 7 SERRE.ACourseinArithmetic. 41 ApOSTOL.ModularFunctionsand 8 TAKEUTVZARING.AxiomaticSetTheory. DirichletSeriesinNumberTheory. 9 HUMPHREYs.IntroductiontoLieAlgebras 2nded. andRepresentationTheory. 42 SERRE.LinearRepresentationsofFinite 10 COHEN.ACourseinSimple...
Hitzer, E.: OPS-QFTs: a new type of quaternion Fourier transforms based on the orthogonal planes split with one or two general pure quaternions. In: Numerical Analysis and Applied Mathematics ICNAAM 2011, AIP Conf. Proc., vol. 1389, pp. 280–283 (2011, preprint). doi:10.1063/1.3636721,...
In the case N = 1, the Hochschild cohomology ring of the algebra Λ1 with m = 1 is discussed in [1], where q-analogues of Λ1 were used to answer negatively a question of Happel, in that they have fin...W. Chin and L. Krop, Representation theory of liftings of quantum planes,...