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512.5 --- 512.622 --- 512.622 Polynomials, including binomials and prime factors --- Polynomials, including binomials and prime factors --- 512.5 General algebra --- General algebra --- Algebra --- Mathematics --- Mathematical analysis --- Equations, Theory of --- Équations algébriques --- Galois theory --- Galois, Théorie de --- Algèbre --- Groupes, Théorie des --- Group theory --- Équations algébriques --- Galois, Théorie de --- Algèbre
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D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. Significant concepts and topics that have emerged over the last few decades are presented, including a treatment of the theory of holonomic D-modules, perverse sheaves, the all-important Riemann-Hilbert correspondence, Hodge modules, and the solution to the Kazhdan-Lusztig conjecture using D-module theory. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, and representation theory.
Ordered algebraic structures --- Geometry --- algebra --- topologie (wiskunde) --- Topological groups. Lie groups --- Algebra --- landmeetkunde --- wiskunde --- Group theory --- Représentations d'algèbres de Lie --- Representations of Lie algebras --- Linear algebraic groups. --- D-modules. --- Representations of groups. --- Groupes algébriques linéaires --- D-modules, Théorie des --- Représentations de groupes --- Groupes algébriques linéaires --- D-modules, Théorie des --- Représentations de groupes
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Emotions have emerged as a topic of interest across the disciplines, yet studies and findings on emotions tend to fall into two camps: body versus brain, nature versus nurture. Emotions as Bio-cultural Processes offers a unique collaboration across the biological/social divide from psychology and neuroscience to cultural anthropology and sociology as 15 noted researchers develop a common language, theoretical basis, and methodology for examining this most sociocognitive aspect of our lives. Starting with our evolutionary past and continuing into our modern world of social classes and norms, these multidisciplinary perspectives reveal the complex interplay of biological, social, cultural, and personal factors at work in emotions, with particular emphasis on the nuances involved in pride and shame. A sampling of the topics: The roles of the brain in emotional processing. Emotional development milestones in childhood. Social feeling rules and the experience of loss. Emotions as commodities? The management of feelings and the self-help industry. Honor and dishonor: societal and gender manifestations of pride and shame. Emotion regulation and youth culture. Pride and shame in the classroom. A volume of such wide and integrative scope as Emotions as Bio-cultural Processes should attract a large cohort of readers on both sides of the debate, among them emotion researchers, social and developmental psychologists, sociologists, social anthropologists, and others who analyze the links between humans that on the one hand differentiate us as individuals but on the other hand tie us to our socio-cultural worlds.
Developmental psychology --- Social psychology --- Personality development --- Psychiatry --- sociale psychologie --- ontwikkelingspsychologie --- emoties --- klinische psychologie --- persoonlijkheidsontwikkeling --- Associative algebras --- Finite groups --- Integral representations --- Linear algebraic groups --- Algebraic groups, Linear --- Geometry, Algebraic --- Group theory --- Algebraic varieties --- Representations, Integral --- Algebraic number theory --- Crystallography, Mathematical --- Representations of groups --- Groups, Finite --- Modules (Algebra) --- Algebras, Associative --- Algebra --- Groupes algébriques linéaires --- Groupes finis --- Algebres et anneaux associatifs --- Representation --- Mathematical analysis --- Associative algebras. --- Finite groups. --- Integral representations. --- Linear algebraic groups.
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