Search results for "Classical"
showing 10 items of 2294 documents
“Piero Sraffa’s Lectures on the Advanced Theory of Value 1928 - 1931 and the rediscovery of the classical approach”
2005
Sraffa's Lectures on the Advanced Theory of Value 1928–1931 and his two preparatory Notes of summer and November 1927 provide a wealth of material, up to now unpublished, for a reconstruction of the early stage of his inquiry into the cognate fields of pure economic theory and its history. The three manuscripts show that in the late 1920s Sraffa rejected the Marshallian constant-cost interpretation of classical economics, an interpretation to which he had adhered in his 1925 and 1926 papers. Moreover, in the Lectures, Sraffa presents for the first time his own interpretation of classical economics based on the concepts of surplus, physical real costs and asymmetric treatment of distributive…
Unitary units and skew elements in group algebras
2003
Let FG be the group algebra of a group G over a field F and let * denote the canonical involution of FG induced by the map g→g −1 ,gG. Let Un(FG)={uFG|uu * =1} be the group of unitary units of FG. In case char F=0, we classify the torsion groups G for which Un(FG) satisfies a group identity not vanishing on 2-elements. Along the way we actually prove that, in characteristic 0, the unitary group Un(FG) does not contain a free group of rank 2 if FG − , the Lie algebra of skew elements of FG, is Lie nilpotent. Motivated by this connection we characterize most groups G for which FG − is Lie nilpotent and char F≠2.
Generation of Certain Matrix Groups by Three Involutions, Two of Which Commute
1997
Ž . We say that a group is 2, 2 = 2 -generated if it can be generated by three involutions, two of which commute. The problem of determining Ž . which finite simple groups are 2, 2 = 2 -generated was posed by Mazurov w x in 1980 in the Kourovka notebook 3 . An answer to this problem, for some classes of finite simple groups, was given by Ya. N. Nuzhin, namely for w x Chevalley groups of rank 1 in 4 , for Chevalley groups over a field of w x characteristic 2 in 5 , and for the alternating groups and Chevalley groups w x of type A in 6 . In this paper we consider the problem in the more n general context of matrix groups over arbitrary, finitely generated, commutative rings. As a special case…
Invariant deformation theory of affine schemes with reductive group action
2015
We develop an invariant deformation theory, in a form accessible to practice, for affine schemes $W$ equipped with an action of a reductive algebraic group $G$. Given the defining equations of a $G$-invariant subscheme $X \subset W$, we device an algorithm to compute the universal deformation of $X$ in terms of generators and relations up to a given order. In many situations, our algorithm even computes an algebraization of the universal deformation. As an application, we determine new families of examples of the invariant Hilbert scheme of Alexeev and Brion, where $G$ is a classical group acting on a classical representation, and describe their singularities.
The hidden group structure of quantum groups: strong duality, rigidity and preferred deformations
1994
A notion of well-behaved Hopf algebra is introduced; reflexivity (for strong duality) between Hopf algebras of Drinfeld-type and their duals, algebras of coefficients of compact semi-simple groups, is proved. A hidden classical group structure is clearly indicated for all generic models of quantum groups. Moyal-product-like deformations are naturally found for all FRT-models on coefficients andC∞-functions. Strong rigidity (H bi 2 ={0}) under deformations in the category of bialgebras is proved and consequences are deduced.
10. Political liberalism and the preventive containment of unreasonable beliefs and behavior
2015
This paper examines the ways in which illiberal and unreasonable views can be legitimately contained in a politically liberal society, and discusses some of the pressing reasons to undertake, or abstain from, such measures. Theoretical background for the discussion is provided by Rawlsian political liberalism. The paper focuses on the particular justification for the preventive containment of unreasonable views offered by Jonathan Quong (2011). It is claimed that Quong’s approach raises some significant worries (not unrelated to the ‘third-order pathologies’ discussed above in Chapter 2). The suggestion is put forward that political liberals would do well to pay more attention to respect an…
Challenging the Rule of Political Liberalism
2020
Abstract The origin of the ongoing conflict between the EU and Poland may, according to the author, partly be subscribed to the EU-institutions conceptualization of the rule of law. This conceptualization, which in the article is referred to as “the rule of political liberalism”, establishes a particular set of legal institutional and substantial frames and limits for national democratic politics. Granted that the rule of law is an inherently contested concept, the author deconstructs the rule of political liberalism, reveals its weaknesses and ideological bias and proposes an alternative understanding of the rule of law. “The rule of pragmatism” is based on a pragmatic conceptualization of…
Toward a Cognitive Classical Linguistics. Introduction
2019
The article introduce a collective volume that gathers a series of papers bringing together the study of grammatical and syntactic constructions in Greek and Latin under the perspective of theories of embodied meaning developed in cognitive linguistics. It presents an overview of the studies in this recent field and highlights various open-ended issues.
Toward a Cognitive Classical Linguistics. The Embodied Basis of Constructions in Greek and Latin
2019
The volume that gathers a series of papers bringing together the study of grammatical and syntactic constructions in Greek and Latin under the perspective of theories of embodied meaning developed in cognitive linguistics.
Models of Computation, Riemann Hypothesis, and Classical Mathematics
1998
Classical mathematics is a source of ideas used by Computer Science since the very first days. Surprisingly, there is still much to be found. Computer scientists, especially, those in Theoretical Computer Science find inspiring ideas both in old notions and results, and in the 20th century mathematics. The latest decades have brought us evidence that computer people will soon study quantum physics and modern biology just to understand what computers are doing.