$$\mathcal {D}$$ D -modules on a representation of $$Sp(2n, \mathbb {C})\times {GL(2,\mathbb {C}})$$ S p ( 2 n , C ) × G L ( 2 , C )

“…6,7 Basically deodorization is the last but very essential refining process. [13][14][15][16] Fatty acids and triglycerides are major components (~96.%) and minor bioactive compounds such as squalene (0.76%), tocopherols and tocotrienols (0.48%), phytosterols (0.37%), and other hydrocarbons (0.71%) are also the part of PFAD 17 . The temperature of deodorizer is maintained in between 180-260°C through high pressure steam boiler by heat exchange system.…”

Section: Introductionmentioning

confidence: 99%

A green method for the quantitative assessment of neutral oil in palm fatty acid distillates by single bounce attenuated total reflectance Fourier-transform infrared spectroscopy

et al. 2015

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2Green, reliable, rapid and novel SB-ATR FT-IR method has been reported in which only one drop of sample is required, and less than 2 min are required to take results for the quantitative assessment of neutral oil present in PFAD. AbstractThis study developed a green, reliable, rapid and economical analytical method for the determination of neutral oil present in deodorizer distillates (DD) by Single Bounce Attenuated Total Reflectance (SB-ATR) Fourier-Transform Infrared Spectroscopy (FT-IR). Beer's Law was applied to develop calibration model based on the band height at 1744 cm -1 with two point baseline between 1800 to 1600 cm -1 of the carbonyl group (C=O) related to triglycerides. It was found to be linear for neutral oil over wide concentration range of 0 -100% with correlation coefficients greater than 0.999. No solvent or costly standards were used in the proposed method.The accuracy of the method was assessed by comparison to a conventional standard American Oil Chemists' Society (AOCS) titrimetric procedures, which provided good correlation (> 0.999). Therefore, proposed method could be used as an environmentally friendly alternative to the AOCS titrimetric method for the quantitative determination of neutral oil in Palm Fatty Acid Distillates (PFAD) for the routine analysis in quality control laboratories of oil processing industries.

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On categories of equivariant D-modules

Lörincz¹,

Walther²

2019

Advances in Mathematics

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Let X be a variety with an action by an algebraic group G. In this paper we discuss various properties of G-equivariant D-modules on X, such as the decompositions of their global sections as representations of G (when G is reductive), and descriptions of the categories that they form. When G acts on X with finitely many orbits, the category of equivariant D-modules is equivalent to the category of finite-dimensional representations of a finite quiver with relations. We describe explicitly these categories for irreducible G-modules X that are spherical varieties, and show that in such cases the quivers are almost always representation-finite (i.e. with finitely many indecomposable representations).

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$$\mathcal {D}$$ D -modules on a representation of $$Sp(2n, \mathbb {C})\times {GL(2,\mathbb {C}})$$ S p ( 2 n , C ) × G L ( 2 , C )

Abstract: We give an algebraic classification of regular holonomic D-modules on (C 2n ) 2 related to the action of the group Sp(2n, C) × GL(2, C) product of the symplectic linear transformations group by the general linear group.

Cited by 3 publications

References 31 publications

D-modules on representations of Capelli type

D-modules on representations of Capelli type

A green method for the quantitative assessment of neutral oil in palm fatty acid distillates by single bounce attenuated total reflectance Fourier-transform infrared spectroscopy

On categories of equivariant D-modules

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