12 research outputs found

    Irreducible Characters of General Linear Superalgebra and Super Duality

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    We develop a new method to solve the irreducible character problem for a wide class of modules over the general linear superalgebra, including all the finite-dimensional modules, by directly relating the problem to the classical Kazhdan-Lusztig theory. We further verify a parabolic version of a conjecture of Brundan on the irreducible characters in the BGG category \mc{O} of the general linear superalgebra. We also prove the super duality conjecture

    The \u3cem\u3eChlamydomonas\u3c/em\u3e Genome Reveals the Evolution of Key Animal and Plant Functions

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    Chlamydomonas reinhardtii is a unicellular green alga whose lineage diverged from land plants over 1 billion years ago. It is a model system for studying chloroplast-based photosynthesis, as well as the structure, assembly, and function of eukaryotic flagella (cilia), which were inherited from the common ancestor of plants and animals, but lost in land plants. We sequenced the ∼120-megabase nuclear genome of Chlamydomonas and performed comparative phylogenomic analyses, identifying genes encoding uncharacterized proteins that are likely associated with the function and biogenesis of chloroplasts or eukaryotic flagella. Analyses of the Chlamydomonas genome advance our understanding of the ancestral eukaryotic cell, reveal previously unknown genes associated with photosynthetic and flagellar functions, and establish links between ciliopathy and the composition and function of flagella

    Manufacturing disorder: liberalization, informal enterprise and economic ‘ungovernance’ in African small firm clusters

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    Small enterprise clusters are viewed as an important means of promoting competitive small-firm development even in contexts of unstable markets and weak states. Yet the emergence of successful enterprise clusters in developing regions of Southern Europe, Asia and Latin America contrasts with their conspicuous absence in Africa. This article challenges ahistorical and culturalist explanations regarding the lack of successful enterprise clusters in Africa through a comparative analysis of three dynamic and increasingly globalized informal manufacturing clusters in two different regions of Nigeria. Focusing on a Muslim Yoruba weaving cluster in the town of Ilorin in south-western Nigeria, and two Christian Igbo shoe and garment clusters in the town of Aba in south-eastern Nigeria, this article explores the role of culture, religion and the state in shaping informal economic governance in an African context. An account of the varied and complex history of these Nigerian enterprise networks reveals both their capacity for institutional innovation and economic linkages across ethnic, religious and gender boundaries, as well as their vulnerability to fragmentation and involution in the context of liberalization, state neglect and political opportunism. Far from demonstrating the inadequacies of African cultural institutions, the slide of African entrepreneurial networks into social disorder and economic 'ungovernance' is traced to the destructive impact of neoliberal reforms in a context of poverty and formal institutional exclusion
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