By Mathieu O., Papadopoulo G.

Permit okay be an algebraically closed box of finite attribute p, and enable be an integer. within the paper, we supply a personality formulation for all basic rational representations of with optimum weight any a number of of any basic weight. Our formulation is a little extra normal: say dominant weight λ is distinctive if there are integers such that and . certainly, we compute the nature of any basic module whose maximum weight λ may be written as with every are specific. through stabilization, we get a personality formulation for a kin of irreducible rational -modules.

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Extra resources for A character formula for a family of simple modular representations of GL(n)

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The greater Cuenca region is ‘the locus of massive, predominantly male migration to the United States and Spain and the inflow of remittances that serve to transform the livelihood of the poor’ (Whitten, 2003, p. 10). Migration from the Cuenca region to the United States was reported as early as the 1930s (US Department of Homeland Security, 2006) and continued slowly and persistently throughout the 1970s (Kyle, 2000; Jokisch and Pribilsky, 2002), although it was the two major economic crises of the 1980s and late 1990s that triggered the sustained widespread migration that has resulted in the transformation of the social lives of many Ecuadorians in the rural Highlands today (Jokisch, 2007; Jokisch and Pribilsky, 2002).

Notes 1. One notable exception is Smelser’s (1959) study of the very period under investigation here. He argues that the THM was a regressive movement inspired by the desire to retain family work groups within the factory environment. For a critique of Smelser see Anderson (1976). 2. My usage of the term domestic practices follows closely David Morgan’s concept of family practices (Morgan, 1996, 1999) except that it has a narrower focus, concentrating upon practices within the realm of the family-household.

I do not mean the tumble-down hovel, containing as many families as rooms, and from seven to a dozen persons in each apartment, of as many feet square. By HOME I do not mean a place where husbands, and wives, and children, are huddled together higgledy-piggedly, like so many swine ... but by HOME I mean a place with rooms fit for men to live in – I mean not the poet’s home, a place of fancy, but I mean a HAPPY home. Good food and the sociability of the family meal were further important components of domestic comfort.

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A character formula for a family of simple modular representations of GL(n) by Mathieu O., Papadopoulo G.

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