simply reducible group

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• Lorentz group — Group theory Group theory …   Wikipedia

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• scholasticism — /skeuh las teuh siz euhm/, n. 1. (sometimes cap.) the system of theological and philosophical teaching predominant in the Middle Ages, based chiefly upon the authority of the church fathers and of Aristotle and his commentators. 2. narrow… …   Universalium

• collective representations — Simply put, these refer to the ideas, beliefs, and values elaborated by a collectivity, and which are not reducible to individual constituents. They are central to Émile Durkheim s search for the sources of social solidarity. In The Elementary… …   Dictionary of sociology

• Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… …   Wikipedia

• logic, history of — Introduction       the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic       There was a medieval tradition according to which the Greek philosopher …   Universalium

• nature, philosophy of — Introduction       the discipline that investigates substantive issues regarding the actual features of nature as a reality. The discussion here is divided into two parts: the philosophy of physics and the philosophy of biology.       In this… …   Universalium

• Philosophy of mind — A phrenological mapping[1] of the brain. Phrenology was among the first attempts to correlate mental functions with specific parts of the brain. Philosophy of mind is a branch of philosophy that studies the nature of the mind, mental even …   Wikipedia

• Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia

• metaphysics — /met euh fiz iks/, n. (used with a sing. v.) 1. the branch of philosophy that treats of first principles, includes ontology and cosmology, and is intimately connected with epistemology. 2. philosophy, esp. in its more abstruse branches. 3. the… …   Universalium

• Representation theory of SL2(R) — In mathematics, the main results concerning irreducible unitary representations of the Lie group SL2(R) are due to Gelfand and Naimark (1946), V. Bargmann (1947), and Harish Chandra (1952). Structure of the complexified Lie algebra We choose a… …   Wikipedia