Supergroup (physics) venom at intruders, including humans. Genera. Genera common in the United States include common lynx spiders and green lynx spiders. , the World Spider Catalog accepts the following genera: Lynx spider Lynx spider (Oxyopidae) is a family of araneomorph spiders first described by Tamerlan Thorell in 1870. Most species make little use of webs, instead spending their lives as hunting spiders on plants. Many species frequent flowers in particular, ambushing pollinators, much as crab spiders do. They tend to tolerate members of their own species more than most spiders do, and at least one species has been identified as exhibiting social 	Lynx spider
27690908	Supergroup (physics) Supergroup (physics) The concept of supergroup is a generalization of that of group. In other words, every supergroup carries a natural group structure, but there may be more than one way to structure a given group as a supergroup. A supergroup is like a Lie group in that there is a well defined notion of smooth function defined on them. However the functions may have even and odd parts. Moreover, a supergroup has a super Lie algebra which plays a role similar to that of a Lie algebra for Lie groups in that they determine most of the representation theory 	Supergroup (physics)
27690909	and which is the starting point for classification. Details. More formally, a Lie supergroup is a supermanifold G" together with a multiplication morphism formula_1, an inversion morphism formula_2 and a unit morphism formula_3 which makes "G" a group object in the category of supermanifolds. This means that, formulated as commutative diagrams, the usual associativity and inversion axioms of a group continue to hold. Since every manifold is a super manifold, a Lie supergroup generalises the notion of a Lie group. There are many possible supergroups. The ones of most interest in theoretical physics are the ones which extend the Poincaré  group or the conformal group. Of particular interest are the orthosymplectic groups Osp("M"|"N") and the superunitary groups SU("M"|"N"). An equivalent algebraic approach starts from the observation that a super manifold is determined by its ring of supercommutative smooth functions, and that a morphism of super manifolds corresponds one to one with an algebra homomorphism between their functions in the opposite direction, i.e. that the category of supermanifolds is opposite to the category of algebras of smooth graded commutative functions. Reversing all the arrows in the commutative diagrams that define a Lie supergroup then shows that functions over the supergroup have  the structure of a Z-graded Hopf algebra. Likewise the representations of this Hopf algebra turn out to be Z-graded comodules. This Hopf algebra gives the global properties of the supergroup. There is another related Hopf algebra which is the dual of the previous Hopf algebra. It can be identified with the Hopf algebra of graded differential operators at the origin. It only gives the local properties of the symmetries i.e., it only gives information about infinitesimal supersymmetry transformations. The representations of this Hopf algebra are modules. Like in the non-graded case, this Hopf algebra can be described  purely algebraically as the universal enveloping algebra of the Lie superalgebra. In a similar way one can define an affine algebraic supergroup as a group object in the category of superalgebraic affine varieties. An affine algebraic supergroup has a similar one to one relation to its Hopf algebra of superpolynomials. Using the language of schemes, which combines the geometric and algebraic point of view, algebraic supergroup schemes can be defined including super Abelian varieties. Supergroup (physics) The concept of supergroup is a generalization of that of group. In other words, every supergroup carries a natural group structure, but there may