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Crossed Products over Algebraic Function Fields
For every finite group \(G\), an integer \(m(G)\) is defined as the maximum over all primes \(p\) dividing the order of \(G\) of the minimal lengths of chains \(\{1 \}= P_0 \varsubsetneq P_1 \varsubsetneq \dots \varsubsetneq P_r =P\) where \(P\) is a Sylow \(p\)-subgroup of \(G\) and \(P_{i-1}\) is a normal subgroup in \(P_i\) such that \(P_i/ P_{i- 1}\
Fein, B., Schacher, M.
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A Family of K3 Surfaces and Towers of Algebraic Curves over Finite Fields [PDF]
Sergey Galkin, S. Rybakov
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Loop Quantum Gravity Vacuum with Nondegenerate Geometry
In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry.
Hanno Sahlmann, Tim Koslowski
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Matrices over orders in algebraic number fields as sums of $k$-th powers [PDF]
S. A. Katre, Sangita A. Khule
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Admissible groups, symmetric factor sets, and simple algebras
Let K be a field of characteristic zero and suppose that D is a K-division algebra; i.e. a finite dimensional division algebra over K with center K. In Mollin [1] we proved that if K contains no non-trivial odd order roots of unity, then every finite odd
R. A. Mollin
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Representability by certain norm forms over algebraic number fields [PDF]
John Thomas Smith
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Cohomology of algebraic varieties over non-archimedean fields [PDF]
Pablo Cubides Kovacsics +2 more
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Enumeration of Commuting Pairs in Lie Algebras over Finite Fields [PDF]
Jason Fulman, Robert M. Guralnick
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Invariants de Witt des involutions de bas degré en caractéristique 2
A $3$-fold and a $5$-fold quadratic Pfister forms are canonically associated to every symplectic involution on a central simple algebra of degree $8$ over a field of characteristic $2$.
Tignol, Jean-Pierre
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Finite-Dimensional Representations of Hyper Loop Algebras Over Non-Algebraically Closed Fields [PDF]
Dijana Jakelić, Adriano Moura
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