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Ordered algebraic structures --- 512 --- Algebra --- Noncommutative rings --- 512 Algebra --- Algèbres non associatives --- Nonassociative algebras --- Algèbres non associatives. --- Algèbres associatives

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Algebra --- Chevalley groups --- Superalgebras. --- Groupes de Chevalley --- Superalgèbres --- Chevalley groups. --- 51 <082.1> --- Mathematics--Series --- Superalgèbres --- Superalgebras --- Nonassociative algebras --- Groups, Chevalley --- Linear algebraic groups

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Cayley numbers (Algebra) --- Cayley algebras. --- Nonassociative algebras. --- Geometry, Algebraic. --- Algebraic geometry --- Geometry --- Algebras, Non-associative --- Algebras, Nonassociative --- Non-associative algebras --- Algebra, Abstract --- Algebras, Linear --- Algebras, Cayley --- Nonassociative algebras --- Cayley octave (Algebra) --- Cayley's numbers (Algebra) --- Cayley's octave (Algebra) --- Octonions --- Cayley algebras --- Geometry, Algebraic

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This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications—CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojša Stevanović (1962-2009). The papers cover new trends in the field, focusing on the growing development of applications in other disciplines. These aspects interplay in the same cadence, promoting interactions between theory and applications, and between nonassociative algebraic structures and various fields in pure and applied mathematics. In this volume, the reader will find novel studies on topics such as left almost algebras, logical algebras, groupoids and their generalizations, algebraic geometry and its relations with quiver algebras, enumerative combinatorics, representation theory, fuzzy logic and foundation theory, fuzzy algebraic structures, group amalgams, computer-aided development and transformation of the theory of nonassociative algebraic structures, and applications within natural sciences and engineering. Researchers and graduate students in algebraic structures and their applications can hugely benefit from this book, which can also interest any researcher exploring multi-disciplinarity and complexity in the scientific realm.

Proof theory. --- Nonassociative rings. --- Algebra, Homological. --- Topological groups. --- Lie groups. --- Differential equations. --- Proof Theory and Constructive Mathematics. --- Non-associative Rings and Algebras. --- Category Theory, Homological Algebra. --- Topological Groups and Lie Groups. --- Differential Equations. --- Nonassociative algebras. --- Àlgebres no associatives

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With applications in quantum field theory, general relativity and elementary particle physics, this four-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage of conformal supersymmetry in four and some higher dimensions, furthermore quantum superalgebras are also considered. Contents Lie superalgebras Conformal supersymmetry in 4D Examples of conformal supersymmetry for D › 4 Quantum superalgebras

Lie algebras. --- Lie groups. --- Differential invariants. --- Differential operators. --- Quantum groups. --- Superalgebras. --- Nonassociative algebras --- Enveloping algebras, Quantized --- Function algebras, Quantized --- Groups, Quantum --- Quantized enveloping algebras --- Quantized function algebras --- Quantum algebras --- Group theory --- Mathematical physics --- Quantum field theory --- Operators, Differential --- Differential equations --- Operator theory --- Invariants, Differential --- Continuous groups --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups