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Transactions of the American Mathematical Society, Series BWe generalize the notion of a root system by relaxing the conditions that ensure that it is invariant under reflections and study the resulting structures, which we call generalized root systems (GRSs). Since both Kostant root systems and root systems of Lie superalgebras are examples of GRSs, studying GRSs provides a uniform axiomatic approach to ...
Dimitrov I., Fioresi R.
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Embeddings of root systems II: Permutation root systems
Journal of Algebra, 2009 In part I [\textit{M. J. Dyer}, J. Algebra 321, No. 11, 3226-3248 (2009; Zbl 1181.20036)] the author studied the embeddings of linear root systems over commutative rings. The present paper studies a class of embeddings of permutation root systems, with properties abstracting those of examples in part I.
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Revista Brasileira de Ciência do Solo, 2009 Este trabalho teve como objetivo avaliar, no campo, a resposta de duas cultivares de milho em um Latossolo Vermelho, em seis níveis de compactação, quanto ao desenvolvimento do sistema radicular, bem como caracterizar a compactação do solo a partir do ...
Onã da Silva Freddi +3 more
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On root posets for noncrystallographic root systems [PDF]
Mathematics of Computation, 2014 We discuss properties of root posets for finite crystallographic root systems, and show that these properties uniquely determine root posets for the noncrystallographic dihedral types and type H 3 H_3 , while proving that there does not exist a poset satisfying all of the properties in type H 4
Cuntz, Michael, Stump, Christian
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On deflation and multiplicity structure [PDF]
, 2016 This paper presents two new constructions related to singular solutions of polynomial systems. The first is a new deflation method for an isolated singular root. This construction uses a single linear differential form defined from the Jacobian matrix of
Hauenstein, Jonathan D. +2 more
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Phosphate availability regulates root system architecture in Arabidopsis [PDF]
, 2001 Plant root systems are highly plastic in their development and can adapt their architecture in response to the prevailing environmental conditions. One important parameter is the availability of phosphate, which is highly immobile in soil such that the ...
Fitter, A H +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Characterizing stressful events reported by childhood cancer survivors experienced throughout the lifespan may help improve trauma‐informed care relevant to the survivor experience. Methods Participants included 2552 survivors (54% female; 34 years of age) and 469 community controls (62% female; 33 years of age) from the St.
Megan E. Ware +13 more
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AgronomyDrought is the most important factor limiting winter wheat yield in the North China Plain (NCP). Choosing high-yielding cultivars is an important measure to minimize the negative effects of drought stress.
Qin Fang +7 more
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On Infinite Root Systems [PDF]
Transactions of the American Mathematical Society, 1989 We define in an axiomatic fashion the concept of a set of root data that generalizes the usual concept of root system of a Kac-Moody Lie algebra. We study these objects from a purely formal and geometrical point of view as well as in relation to their associated Lie algebras.
Moody, R. V., Pianzola, A.
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Pediatric Blood &Cancer, EarlyView.Abstract Background Sickle cell disease (SCD) is an autosomal recessive hemoglobinopathy affecting millions of individuals worldwide. The clinical expression and psychosocial burden of SCD vary widely across geographical, cultural, and healthcare system contexts, underscoring the need for setting‐specific approaches to assessment.
Desiré Fantasia +7 more
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