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Algebraic structures in quantum theory

2023
The thesis is devoted to the analysis of various algebraic structures appearing in quantum theory and their applications to concrete physical problems. Analysis of symmetries is one of the most universal and powerful tools for studying physical systems.
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The role of abstract algebra in structured estimation theory

IEEE Transactions on Information Theory, 1992
A necessary and sufficient condition for a complete sufficient and explicit statistic for the covariance estimation problem is that the linear subspaces associated with covariance and the inverse covariance are identical and a Jordan algebra of symmetric linear mappings (see theorem 1).
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Theory of massive particles I. Algebraic structure

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1981
Abstract A theory of massive particles is developed from the single hypothesis of broken conformal invariance. The theory naturally incorporates fermions and bosons into a single framework. Applied to hadrons, it gives a structure conjectured to be that of the Regge trajectories, including the daughter particles.
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Mackey structures on equivariant algebraic K-theory

K-Theory, 1991
Let \(G\) be a finite group. In [Publ. Res. Inst. Math. Sci. 25, No. 2, 239-262 (1989; Zbl 0677.55013)] the author has constructed a machine for generating \(G\)-spectra from pairs of symmetric monoidal \(G\)-graded categories; the machine uses what are called special \(\Gamma_ G\)- spaces.
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New model category structures for algebraic quantum field theory

Letters in Mathematical Physics, 2023
VÍCTOR Carmona
exaly  

Algebraic Structure of String Field Theory

Lecture Notes in Physics, 2020
Martin Doubek   +2 more
exaly  

Algebraic Structures in Automata and Database Theory

1992
Boris I. Plotkin   +2 more
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Algebraic Structures and Number Theory

Algebraic Structures and Number Theory, 1990
S.P. Lam, K.P. Shum
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