scholarly journals Planar algebras associated to Latin squares are of subgroup-group-type

2020 ◽  
Vol 149 (1) ◽  
pp. 163-172
Author(s):  
Vijay Kodiyalam ◽  
Sruthy Murali
2020 ◽  
pp. 2050124
Author(s):  
Vijay Kodiyalam ◽  
Sruthymurali ◽  
V. S. Sunder

We define generalized notions of biunitary elements in planar algebras and show that objects arising in quantum information theory such as Hadamard matrices, quantum Latin squares and unitary error bases are all given by biunitary elements in the spin planar algebra. We show that there are natural subfactor planar algebras associated with biunitary elements.


Think India ◽  
2019 ◽  
Vol 22 (3) ◽  
pp. 14-19
Author(s):  
Ms.Geetika Patni ◽  
Dr.Keshav Nath

In the realm of feminist study, the woman story writers deal with the themes of love, marriage, loneliness and quest for identity. Self is related to individual where as the Identity is concerned with position in society. Cultural identity of feeling makes connection to the part of the self conception and self awareness. It concerns with nationality, customs, religious and religious convictions, age group, community and any other social group type. The present paper reveals the discussion on the key findings with regard to the ‘self’ and cultural identity of protagonist in the short stories of Jhumpa Lahiri in special reference to The Interpreter of Maladies. She is a superb interpreter of a cultural multiplicity. Lahiri’s stories are insightful critique of human relationships, bonds as well as promise that one has to make with native soil along with the migrated land


Author(s):  
Stefan Schröder

This chapter addresses secular humanism in Europe and the way it is “lived” by and within its major institutions and organizations. It examines how national and international secular humanist bodies founded after World War II took up, cultivated, and transformed free-religious, free-thought, ethical, atheist, and rationalist roots from nineteenth century Europe and adjusted them to changing social, cultural, and political environments. Giving examples from some selected national contexts, the development of a nonreligious Humanism in Europe exemplifies what Wohlrab-Sahr and Burchardt call “Multiple Secularities”: different local or national trajectories produced a variety of cultures of secularity and, thus, different understandings of secular humanism. Apart from this cultural historization, the chapter reconstructs two transnational, ideal types of secular humanism, the social practice type, and the secularist pressure group type. These types share similar worldviews and values, but have to be distinguished in terms of organizational forms, practices, and especially policy.


Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 285
Author(s):  
Laura M. Johnson ◽  
Stephanie Perkins

This communication provides a discussion of a scheme originally proposed by Falcón in a paper entitled “Latin squares associated to principal autotopisms of long cycles. Applications in cryptography”. Falcón outlines the protocol for a cryptographical scheme that uses the F-critical sets associated with a particular Latin square to generate access levels for participants of the scheme. Accompanying the scheme is an example, which applies the protocol to a particular Latin square of order six. Exploration of the example itself, revealed some interesting observations about both the structure of the Latin square itself and the autotopisms associated with the Latin square. These observations give rise to necessary conditions for the generation of the F-critical sets associated with certain autotopisms of the given Latin square. The communication culminates with a table which outlines the various access levels for the given Latin square in accordance with the scheme detailed by Falcón.


Separations ◽  
2021 ◽  
Vol 8 (6) ◽  
pp. 88
Author(s):  
Paola Arena ◽  
Danilo Sciarrone ◽  
Paola Dugo ◽  
Paola Donato ◽  
Luigi Mondello

Triacylglycerols (TAGs), as the main components of edible oils and animal fats, are responsible for the nutritional value, organoleptic features and technological properties of foods; each lipid matrix shows a unique TAG profile which can serve as fingerprint to ensure the quality and authenticity of food products. The high complexity of many foodstuffs often makes untargeted elucidation of TAG components a challenging task; thus, more efficient separation techniques may be mandatory. In this research, the TAG profile of a borage (Borago officinalis) seed oil was obtained by two-dimensional comprehensive liquid chromatography (LC×LC), by the coupling of silver thiolate and octadecylsilica monodisperse materials. A total 94 TAG compounds were identified by ion trap-time of flight detection, using atmospheric pressure ionization, with the degree of unsaturation varying from 0 to 9, and partition values ranging from 36 to 56. The group-type separation afforded by this analytical approach may be useful to quickly fingerprint TAG components of oil samples.


1976 ◽  
Vol 6 (3) ◽  
pp. 381-385 ◽  
Author(s):  
Suresh Kanekar ◽  
Priya Neelakantan

Author(s):  
Michał Dębski ◽  
Jarosław Grytczuk

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