Abstract: We show that the canonical dimension cd Spin2n+1 of the spinor group Spin2n+1 has an inductive upper bound given by n + cdSpin2n−1. Using this bound, we determine the precise value of cd Spinn for all n ≤ 16 (previously known for n ≤ 10). We also obtain an upper bound for the canonical dimension of the semi-spinor group cd Spin∼n in terms of cd Spinn−2. This bound determines cd Spin n for n ≤ 16; for any n, assuming a conjecture on the precise value of cd Spinn−2, this bound determines cd Spin∼n
Abstract. We prove Berhuy-Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
Using the characterization of the spin representation in terms of exterior forms, we give a complete...
We construct Wigner's continuous spin representations of the Poincar\'e algebra for massless particl...
The aim of his thesis is to construct matrix representations of the Lie groups Spin(n) = Spin(0, n, ...
SIGLEAvailable from British Library Lending Division - LD:8053.4153(RAL--85-040) / BLDSC - British L...
Abstract. Essential dimension is a numerical invariant of an algebraic group G which reflects the co...
Based on our earlier description of the distribution into 2-blocks of the spin characters of the cov...
this article was an observation by Yamada. He had computed the determinants of the (reduced) spin 2-...
Little groups for preon branes (i.e. configurations of branes with maximal (n-1)/n fraction of survi...
Let S_h be the even pure spinors variety of a complex vector space V of even dimension 2h endowed wi...
Clifford algebras are algebras naturally associated with vector spaces endowed with symmetric biline...
AbstractIn the first part [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Odd-dimensional ortho...
The 2”-dimensional spinor representations of the complex orthogonal group SO(M, C) (M = 2 ~ + 2) are...
AbstractIn this paper we find an upper bound for the essential dimension ed(G) of finite cyclic grou...
One of the most important aspects of Clifford algebras is that they can be used to explicitly constr...
Abstract. We prove Berhuy-Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
Using the characterization of the spin representation in terms of exterior forms, we give a complete...
We construct Wigner's continuous spin representations of the Poincar\'e algebra for massless particl...
The aim of his thesis is to construct matrix representations of the Lie groups Spin(n) = Spin(0, n, ...
SIGLEAvailable from British Library Lending Division - LD:8053.4153(RAL--85-040) / BLDSC - British L...
Abstract. Essential dimension is a numerical invariant of an algebraic group G which reflects the co...
Based on our earlier description of the distribution into 2-blocks of the spin characters of the cov...
this article was an observation by Yamada. He had computed the determinants of the (reduced) spin 2-...
Little groups for preon branes (i.e. configurations of branes with maximal (n-1)/n fraction of survi...
Let S_h be the even pure spinors variety of a complex vector space V of even dimension 2h endowed wi...
Clifford algebras are algebras naturally associated with vector spaces endowed with symmetric biline...
AbstractIn the first part [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Odd-dimensional ortho...
The 2”-dimensional spinor representations of the complex orthogonal group SO(M, C) (M = 2 ~ + 2) are...
AbstractIn this paper we find an upper bound for the essential dimension ed(G) of finite cyclic grou...
One of the most important aspects of Clifford algebras is that they can be used to explicitly constr...
Abstract. We prove Berhuy-Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
Using the characterization of the spin representation in terms of exterior forms, we give a complete...
We construct Wigner's continuous spin representations of the Poincar\'e algebra for massless particl...